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Finding the Fourth Proportional to 1,156.87, 1,733.15 and 899.83

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Solution

The fourth proportional to 1,156.87, 1,733.15 and 899.83 is: 1,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.87 : 1,733.15 = 899.83 : x
  2. Step 2: Convert to fraction form
    1,156.87/1,733.15 = 899.83/x
  3. Step 3: Cross multiply
    1,156.87x = 1,733.15 × 899.83
  4. Step 4: Simplify right side
    1,156.87x = 1,559,535.87
  5. Step 5: Solve for x
    x = 1,559,535.87/1,156.87
  6. Step 6: Final answer
    x = 1,348.06

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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.