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Finding the Fourth Proportional to 711.16, 1,070.51 and 507.14

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Solution

The fourth proportional to 711.16, 1,070.51 and 507.14 is: 763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.16 : 1,070.51 = 507.14 : x
  2. Step 2: Convert to fraction form
    711.16/1,070.51 = 507.14/x
  3. Step 3: Cross multiply
    711.16x = 1,070.51 × 507.14
  4. Step 4: Simplify right side
    711.16x = 542,890.55
  5. Step 5: Solve for x
    x = 542,890.55/711.16
  6. Step 6: Final answer
    x = 763.39

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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.