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Finding the Fourth Proportional to 510.57, 702.68 and 405.30

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Solution

The fourth proportional to 510.57, 702.68 and 405.30 is: 557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 702.68 = 405.30 : x
  2. Step 2: Convert to fraction form
    510.57/702.68 = 405.30/x
  3. Step 3: Cross multiply
    510.57x = 702.68 × 405.30
  4. Step 4: Simplify right side
    510.57x = 284,796.81
  5. Step 5: Solve for x
    x = 284,796.81/510.57
  6. Step 6: Final answer
    x = 557.80

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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.