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Finding the Fourth Proportional to 974.84, 1,345.20 and 753.44

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Solution

The fourth proportional to 974.84, 1,345.20 and 753.44 is: 1,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.84 : 1,345.20 = 753.44 : x
  2. Step 2: Convert to fraction form
    974.84/1,345.20 = 753.44/x
  3. Step 3: Cross multiply
    974.84x = 1,345.20 × 753.44
  4. Step 4: Simplify right side
    974.84x = 1,013,527.49
  5. Step 5: Solve for x
    x = 1,013,527.49/974.84
  6. Step 6: Final answer
    x = 1,039.69

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1.5x scale

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.