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Finding the Fourth Proportional to 974.13, 1,341.59 and 971.16

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Solution

The fourth proportional to 974.13, 1,341.59 and 971.16 is: 1,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.13 : 1,341.59 = 971.16 : x
  2. Step 2: Convert to fraction form
    974.13/1,341.59 = 971.16/x
  3. Step 3: Cross multiply
    974.13x = 1,341.59 × 971.16
  4. Step 4: Simplify right side
    974.13x = 1,302,902.71
  5. Step 5: Solve for x
    x = 1,302,902.71/974.13
  6. Step 6: Final answer
    x = 1,337.51

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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.