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Finding the Fourth Proportional to 646.48, 891.61 and 562.24

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Solution

The fourth proportional to 646.48, 891.61 and 562.24 is: 775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.48 : 891.61 = 562.24 : x
  2. Step 2: Convert to fraction form
    646.48/891.61 = 562.24/x
  3. Step 3: Cross multiply
    646.48x = 891.61 × 562.24
  4. Step 4: Simplify right side
    646.48x = 501,298.52
  5. Step 5: Solve for x
    x = 501,298.52/646.48
  6. Step 6: Final answer
    x = 775.43

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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.