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Finding the Fourth Proportional to 483.86, 724.17 and 429.86

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Solution

The fourth proportional to 483.86, 724.17 and 429.86 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.86 : 724.17 = 429.86 : x
  2. Step 2: Convert to fraction form
    483.86/724.17 = 429.86/x
  3. Step 3: Cross multiply
    483.86x = 724.17 × 429.86
  4. Step 4: Simplify right side
    483.86x = 311,291.72
  5. Step 5: Solve for x
    x = 311,291.72/483.86
  6. Step 6: Final answer
    x = 643.35

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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.