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Finding the Fourth Proportional to 584.28, 875.61 and 422.01

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Solution

The fourth proportional to 584.28, 875.61 and 422.01 is: 632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 875.61 = 422.01 : x
  2. Step 2: Convert to fraction form
    584.28/875.61 = 422.01/x
  3. Step 3: Cross multiply
    584.28x = 875.61 × 422.01
  4. Step 4: Simplify right side
    584.28x = 369,516.18
  5. Step 5: Solve for x
    x = 369,516.18/584.28
  6. Step 6: Final answer
    x = 632.43

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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.