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Finding the Fourth Proportional to 531.88, 732.27 and 419.65

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Solution

The fourth proportional to 531.88, 732.27 and 419.65 is: 577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.88 : 732.27 = 419.65 : x
  2. Step 2: Convert to fraction form
    531.88/732.27 = 419.65/x
  3. Step 3: Cross multiply
    531.88x = 732.27 × 419.65
  4. Step 4: Simplify right side
    531.88x = 307,297.11
  5. Step 5: Solve for x
    x = 307,297.11/531.88
  6. Step 6: Final answer
    x = 577.76

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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.