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Finding the Fourth Proportional to 586.26, 880.00 and 432.36

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Solution

The fourth proportional to 586.26, 880.00 and 432.36 is: 648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.26 : 880.00 = 432.36 : x
  2. Step 2: Convert to fraction form
    586.26/880.00 = 432.36/x
  3. Step 3: Cross multiply
    586.26x = 880.00 × 432.36
  4. Step 4: Simplify right side
    586.26x = 380,475.72
  5. Step 5: Solve for x
    x = 380,475.72/586.26
  6. Step 6: Final answer
    x = 648.99

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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.