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Finding the Fourth Proportional to 710.67, 981.11 and 462.14

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Solution

The fourth proportional to 710.67, 981.11 and 462.14 is: 637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.67 : 981.11 = 462.14 : x
  2. Step 2: Convert to fraction form
    710.67/981.11 = 462.14/x
  3. Step 3: Cross multiply
    710.67x = 981.11 × 462.14
  4. Step 4: Simplify right side
    710.67x = 453,402.96
  5. Step 5: Solve for x
    x = 453,402.96/710.67
  6. Step 6: Final answer
    x = 637.99

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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.