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Finding the Fourth Proportional to 971.59, 1,332.04 and 954.10

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Solution

The fourth proportional to 971.59, 1,332.04 and 954.10 is: 1,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.59 : 1,332.04 = 954.10 : x
  2. Step 2: Convert to fraction form
    971.59/1,332.04 = 954.10/x
  3. Step 3: Cross multiply
    971.59x = 1,332.04 × 954.10
  4. Step 4: Simplify right side
    971.59x = 1,270,899.36
  5. Step 5: Solve for x
    x = 1,270,899.36/971.59
  6. Step 6: Final answer
    x = 1,308.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.