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Finding the Fourth Proportional to 539.16, 807.30 and 506.70

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Solution

The fourth proportional to 539.16, 807.30 and 506.70 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 807.30 = 506.70 : x
  2. Step 2: Convert to fraction form
    539.16/807.30 = 506.70/x
  3. Step 3: Cross multiply
    539.16x = 807.30 × 506.70
  4. Step 4: Simplify right side
    539.16x = 409,058.91
  5. Step 5: Solve for x
    x = 409,058.91/539.16
  6. Step 6: Final answer
    x = 758.70

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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.