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Finding the Fourth Proportional to 642.53, 885.23 and 443.17

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Solution

The fourth proportional to 642.53, 885.23 and 443.17 is: 610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.53 : 885.23 = 443.17 : x
  2. Step 2: Convert to fraction form
    642.53/885.23 = 443.17/x
  3. Step 3: Cross multiply
    642.53x = 885.23 × 443.17
  4. Step 4: Simplify right side
    642.53x = 392,307.93
  5. Step 5: Solve for x
    x = 392,307.93/642.53
  6. Step 6: Final answer
    x = 610.57

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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.