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Finding the Fourth Proportional to 487.24, 730.91 and 436.21

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Solution

The fourth proportional to 487.24, 730.91 and 436.21 is: 654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.24 : 730.91 = 436.21 : x
  2. Step 2: Convert to fraction form
    487.24/730.91 = 436.21/x
  3. Step 3: Cross multiply
    487.24x = 730.91 × 436.21
  4. Step 4: Simplify right side
    487.24x = 318,827.06
  5. Step 5: Solve for x
    x = 318,827.06/487.24
  6. Step 6: Final answer
    x = 654.36

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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.