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Finding the Fourth Proportional to 532.22, 801.46 and 464.57

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Solution

The fourth proportional to 532.22, 801.46 and 464.57 is: 699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.22 : 801.46 = 464.57 : x
  2. Step 2: Convert to fraction form
    532.22/801.46 = 464.57/x
  3. Step 3: Cross multiply
    532.22x = 801.46 × 464.57
  4. Step 4: Simplify right side
    532.22x = 372,330.26
  5. Step 5: Solve for x
    x = 372,330.26/532.22
  6. Step 6: Final answer
    x = 699.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.