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Finding the Fourth Proportional to 500, 746.08 and 430.88

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Solution

The fourth proportional to 500, 746.08 and 430.88 is: 642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 746.08 = 430.88 : x
  2. Step 2: Convert to fraction form
    500/746.08 = 430.88/x
  3. Step 3: Cross multiply
    500x = 746.08 × 430.88
  4. Step 4: Simplify right side
    500x = 321,470.95
  5. Step 5: Solve for x
    x = 321,470.95/500
  6. Step 6: Final answer
    x = 642.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.