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Finding the Fourth Proportional to 586.08, 879.36 and 432.78

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Solution

The fourth proportional to 586.08, 879.36 and 432.78 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 879.36 = 432.78 : x
  2. Step 2: Convert to fraction form
    586.08/879.36 = 432.78/x
  3. Step 3: Cross multiply
    586.08x = 879.36 × 432.78
  4. Step 4: Simplify right side
    586.08x = 380,569.42
  5. Step 5: Solve for x
    x = 380,569.42/586.08
  6. Step 6: Final answer
    x = 649.35

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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.