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Finding the Fourth Proportional to 972.61, 1,341.97 and 641.57

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Solution

The fourth proportional to 972.61, 1,341.97 and 641.57 is: 885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.61 : 1,341.97 = 641.57 : x
  2. Step 2: Convert to fraction form
    972.61/1,341.97 = 641.57/x
  3. Step 3: Cross multiply
    972.61x = 1,341.97 × 641.57
  4. Step 4: Simplify right side
    972.61x = 860,966.93
  5. Step 5: Solve for x
    x = 860,966.93/972.61
  6. Step 6: Final answer
    x = 885.22

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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.