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Finding the Fourth Proportional to 510.01, 702.39 and 499.27

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Solution

The fourth proportional to 510.01, 702.39 and 499.27 is: 687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.01 : 702.39 = 499.27 : x
  2. Step 2: Convert to fraction form
    510.01/702.39 = 499.27/x
  3. Step 3: Cross multiply
    510.01x = 702.39 × 499.27
  4. Step 4: Simplify right side
    510.01x = 350,682.26
  5. Step 5: Solve for x
    x = 350,682.26/510.01
  6. Step 6: Final answer
    x = 687.60

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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.