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Finding the Fourth Proportional to 562.68, 775.81 and 462.98

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Solution

The fourth proportional to 562.68, 775.81 and 462.98 is: 638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 775.81 = 462.98 : x
  2. Step 2: Convert to fraction form
    562.68/775.81 = 462.98/x
  3. Step 3: Cross multiply
    562.68x = 775.81 × 462.98
  4. Step 4: Simplify right side
    562.68x = 359,187.03
  5. Step 5: Solve for x
    x = 359,187.03/562.68
  6. Step 6: Final answer
    x = 638.35

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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.