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Finding the Fourth Proportional to 1,156.53, 1,732.53 and 694.71

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Solution

The fourth proportional to 1,156.53, 1,732.53 and 694.71 is: 1,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.53 : 1,732.53 = 694.71 : x
  2. Step 2: Convert to fraction form
    1,156.53/1,732.53 = 694.71/x
  3. Step 3: Cross multiply
    1,156.53x = 1,732.53 × 694.71
  4. Step 4: Simplify right side
    1,156.53x = 1,203,605.92
  5. Step 5: Solve for x
    x = 1,203,605.92/1,156.53
  6. Step 6: Final answer
    x = 1,040.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.