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Finding the Fourth Proportional to 510.60, 707.70 and 462

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Solution

The fourth proportional to 510.60, 707.70 and 462 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 707.70 = 462 : x
  2. Step 2: Convert to fraction form
    510.60/707.70 = 462/x
  3. Step 3: Cross multiply
    510.60x = 707.70 × 462
  4. Step 4: Simplify right side
    510.60x = 326,957.40
  5. Step 5: Solve for x
    x = 326,957.40/510.60
  6. Step 6: Final answer
    x = 640.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.