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Finding the Fourth Proportional to 531.72, 800.71 and 464.06

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Solution

The fourth proportional to 531.72, 800.71 and 464.06 is: 698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.72 : 800.71 = 464.06 : x
  2. Step 2: Convert to fraction form
    531.72/800.71 = 464.06/x
  3. Step 3: Cross multiply
    531.72x = 800.71 × 464.06
  4. Step 4: Simplify right side
    531.72x = 371,578.32
  5. Step 5: Solve for x
    x = 371,578.32/531.72
  6. Step 6: Final answer
    x = 698.82

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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.