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Finding the Fourth Proportional to 501.80, 752.96 and 433.76

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Solution

The fourth proportional to 501.80, 752.96 and 433.76 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.80 : 752.96 = 433.76 : x
  2. Step 2: Convert to fraction form
    501.80/752.96 = 433.76/x
  3. Step 3: Cross multiply
    501.80x = 752.96 × 433.76
  4. Step 4: Simplify right side
    501.80x = 326,603.93
  5. Step 5: Solve for x
    x = 326,603.93/501.80
  6. Step 6: Final answer
    x = 650.86

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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.