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Finding the Fourth Proportional to 586.58, 880.17 and 432.77

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Solution

The fourth proportional to 586.58, 880.17 and 432.77 is: 649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.58 : 880.17 = 432.77 : x
  2. Step 2: Convert to fraction form
    586.58/880.17 = 432.77/x
  3. Step 3: Cross multiply
    586.58x = 880.17 × 432.77
  4. Step 4: Simplify right side
    586.58x = 380,911.17
  5. Step 5: Solve for x
    x = 380,911.17/586.58
  6. Step 6: Final answer
    x = 649.38

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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.