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Finding the Fourth Proportional to 562.66, 839.38 and 510.42

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Solution

The fourth proportional to 562.66, 839.38 and 510.42 is: 761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.66 : 839.38 = 510.42 : x
  2. Step 2: Convert to fraction form
    562.66/839.38 = 510.42/x
  3. Step 3: Cross multiply
    562.66x = 839.38 × 510.42
  4. Step 4: Simplify right side
    562.66x = 428,429.59
  5. Step 5: Solve for x
    x = 428,429.59/562.66
  6. Step 6: Final answer
    x = 761.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.