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Finding the Fourth Proportional to 972.68, 1,340.18 and 814.76

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Solution

The fourth proportional to 972.68, 1,340.18 and 814.76 is: 1,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.68 : 1,340.18 = 814.76 : x
  2. Step 2: Convert to fraction form
    972.68/1,340.18 = 814.76/x
  3. Step 3: Cross multiply
    972.68x = 1,340.18 × 814.76
  4. Step 4: Simplify right side
    972.68x = 1,091,925.06
  5. Step 5: Solve for x
    x = 1,091,925.06/972.68
  6. Step 6: Final answer
    x = 1,122.59

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.