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Finding the Fourth Proportional to 971.80, 1,454.96 and 873.38

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Solution

The fourth proportional to 971.80, 1,454.96 and 873.38 is: 1,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.80 : 1,454.96 = 873.38 : x
  2. Step 2: Convert to fraction form
    971.80/1,454.96 = 873.38/x
  3. Step 3: Cross multiply
    971.80x = 1,454.96 × 873.38
  4. Step 4: Simplify right side
    971.80x = 1,270,738.79
  5. Step 5: Solve for x
    x = 1,270,738.79/971.80
  6. Step 6: Final answer
    x = 1,307.62

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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.