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Finding the Fourth Proportional to 586.58, 881.02 and 431.90

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Solution

The fourth proportional to 586.58, 881.02 and 431.90 is: 648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.58 : 881.02 = 431.90 : x
  2. Step 2: Convert to fraction form
    586.58/881.02 = 431.90/x
  3. Step 3: Cross multiply
    586.58x = 881.02 × 431.90
  4. Step 4: Simplify right side
    586.58x = 380,507.05
  5. Step 5: Solve for x
    x = 380,507.05/586.58
  6. Step 6: Final answer
    x = 648.68

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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.