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Finding the Fourth Proportional to 974.14, 1,344.47 and 581.40

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Solution

The fourth proportional to 974.14, 1,344.47 and 581.40 is: 802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,344.47 = 581.40 : x
  2. Step 2: Convert to fraction form
    974.14/1,344.47 = 581.40/x
  3. Step 3: Cross multiply
    974.14x = 1,344.47 × 581.40
  4. Step 4: Simplify right side
    974.14x = 781,674.86
  5. Step 5: Solve for x
    x = 781,674.86/974.14
  6. Step 6: Final answer
    x = 802.43

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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.