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Finding the Fourth Proportional to 488.16, 731.52 and 436.80

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Solution

The fourth proportional to 488.16, 731.52 and 436.80 is: 654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 731.52 = 436.80 : x
  2. Step 2: Convert to fraction form
    488.16/731.52 = 436.80/x
  3. Step 3: Cross multiply
    488.16x = 731.52 × 436.80
  4. Step 4: Simplify right side
    488.16x = 319,527.94
  5. Step 5: Solve for x
    x = 319,527.94/488.16
  6. Step 6: Final answer
    x = 654.56

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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.