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Finding the Fourth Proportional to 642.80, 966.23 and 594.20

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Solution

The fourth proportional to 642.80, 966.23 and 594.20 is: 893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.80 : 966.23 = 594.20 : x
  2. Step 2: Convert to fraction form
    642.80/966.23 = 594.20/x
  3. Step 3: Cross multiply
    642.80x = 966.23 × 594.20
  4. Step 4: Simplify right side
    642.80x = 574,133.87
  5. Step 5: Solve for x
    x = 574,133.87/642.80
  6. Step 6: Final answer
    x = 893.18

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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.