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Finding the Fourth Proportional to 642.30, 885.90 and 590.02

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Solution

The fourth proportional to 642.30, 885.90 and 590.02 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.30 : 885.90 = 590.02 : x
  2. Step 2: Convert to fraction form
    642.30/885.90 = 590.02/x
  3. Step 3: Cross multiply
    642.30x = 885.90 × 590.02
  4. Step 4: Simplify right side
    642.30x = 522,698.72
  5. Step 5: Solve for x
    x = 522,698.72/642.30
  6. Step 6: Final answer
    x = 813.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.