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Finding the Fourth Proportional to 972.49, 1,458.55 and 323.05

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Solution

The fourth proportional to 972.49, 1,458.55 and 323.05 is: 484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.49 : 1,458.55 = 323.05 : x
  2. Step 2: Convert to fraction form
    972.49/1,458.55 = 323.05/x
  3. Step 3: Cross multiply
    972.49x = 1,458.55 × 323.05
  4. Step 4: Simplify right side
    972.49x = 471,176.48
  5. Step 5: Solve for x
    x = 471,176.48/972.49
  6. Step 6: Final answer
    x = 484.51

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.