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Finding the Fourth Proportional to 503.76, 753.48 and 432.48

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Solution

The fourth proportional to 503.76, 753.48 and 432.48 is: 646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.76 : 753.48 = 432.48 : x
  2. Step 2: Convert to fraction form
    503.76/753.48 = 432.48/x
  3. Step 3: Cross multiply
    503.76x = 753.48 × 432.48
  4. Step 4: Simplify right side
    503.76x = 325,865.03
  5. Step 5: Solve for x
    x = 325,865.03/503.76
  6. Step 6: Final answer
    x = 646.87

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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.