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Finding the Fourth Proportional to 537.78, 807.33 and 457.11

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Solution

The fourth proportional to 537.78, 807.33 and 457.11 is: 686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.78 : 807.33 = 457.11 : x
  2. Step 2: Convert to fraction form
    537.78/807.33 = 457.11/x
  3. Step 3: Cross multiply
    537.78x = 807.33 × 457.11
  4. Step 4: Simplify right side
    537.78x = 369,038.62
  5. Step 5: Solve for x
    x = 369,038.62/537.78
  6. Step 6: Final answer
    x = 686.23

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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.