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Finding the Fourth Proportional to 531.08, 795.90 and 400.97

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Solution

The fourth proportional to 531.08, 795.90 and 400.97 is: 600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.08 : 795.90 = 400.97 : x
  2. Step 2: Convert to fraction form
    531.08/795.90 = 400.97/x
  3. Step 3: Cross multiply
    531.08x = 795.90 × 400.97
  4. Step 4: Simplify right side
    531.08x = 319,132.51
  5. Step 5: Solve for x
    x = 319,132.51/531.08
  6. Step 6: Final answer
    x = 600.91

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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.