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Finding the Fourth Proportional to 510.87, 703.49 and 474.11

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Solution

The fourth proportional to 510.87, 703.49 and 474.11 is: 652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.87 : 703.49 = 474.11 : x
  2. Step 2: Convert to fraction form
    510.87/703.49 = 474.11/x
  3. Step 3: Cross multiply
    510.87x = 703.49 × 474.11
  4. Step 4: Simplify right side
    510.87x = 333,531.64
  5. Step 5: Solve for x
    x = 333,531.64/510.87
  6. Step 6: Final answer
    x = 652.87

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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.