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Finding the Fourth Proportional to 562.80, 844.60 and 400.72

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Solution

The fourth proportional to 562.80, 844.60 and 400.72 is: 601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.80 : 844.60 = 400.72 : x
  2. Step 2: Convert to fraction form
    562.80/844.60 = 400.72/x
  3. Step 3: Cross multiply
    562.80x = 844.60 × 400.72
  4. Step 4: Simplify right side
    562.80x = 338,448.11
  5. Step 5: Solve for x
    x = 338,448.11/562.80
  6. Step 6: Final answer
    x = 601.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.