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Finding the Fourth Proportional to 510.30, 702.46 and 385.76

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Solution

The fourth proportional to 510.30, 702.46 and 385.76 is: 531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.30 : 702.46 = 385.76 : x
  2. Step 2: Convert to fraction form
    510.30/702.46 = 385.76/x
  3. Step 3: Cross multiply
    510.30x = 702.46 × 385.76
  4. Step 4: Simplify right side
    510.30x = 270,980.97
  5. Step 5: Solve for x
    x = 270,980.97/510.30
  6. Step 6: Final answer
    x = 531.02

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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.