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Finding the Fourth Proportional to 586.51, 880.38 and 432.61

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Solution

The fourth proportional to 586.51, 880.38 and 432.61 is: 649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.51 : 880.38 = 432.61 : x
  2. Step 2: Convert to fraction form
    586.51/880.38 = 432.61/x
  3. Step 3: Cross multiply
    586.51x = 880.38 × 432.61
  4. Step 4: Simplify right side
    586.51x = 380,861.19
  5. Step 5: Solve for x
    x = 380,861.19/586.51
  6. Step 6: Final answer
    x = 649.37

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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.