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Finding the Fourth Proportional to 934.82, 1,407.79 and 814.53

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Solution

The fourth proportional to 934.82, 1,407.79 and 814.53 is: 1,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.82 : 1,407.79 = 814.53 : x
  2. Step 2: Convert to fraction form
    934.82/1,407.79 = 814.53/x
  3. Step 3: Cross multiply
    934.82x = 1,407.79 × 814.53
  4. Step 4: Simplify right side
    934.82x = 1,146,685.15
  5. Step 5: Solve for x
    x = 1,146,685.15/934.82
  6. Step 6: Final answer
    x = 1,226.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.