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Finding the Fourth Proportional to 1,037.56, 1,549.70 and 891.76

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Solution

The fourth proportional to 1,037.56, 1,549.70 and 891.76 is: 1,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.56 : 1,549.70 = 891.76 : x
  2. Step 2: Convert to fraction form
    1,037.56/1,549.70 = 891.76/x
  3. Step 3: Cross multiply
    1,037.56x = 1,549.70 × 891.76
  4. Step 4: Simplify right side
    1,037.56x = 1,381,960.47
  5. Step 5: Solve for x
    x = 1,381,960.47/1,037.56
  6. Step 6: Final answer
    x = 1,331.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.