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Finding the Fourth Proportional to 1,077.87, 1,487.64 and 900.59

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Solution

The fourth proportional to 1,077.87, 1,487.64 and 900.59 is: 1,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.87 : 1,487.64 = 900.59 : x
  2. Step 2: Convert to fraction form
    1,077.87/1,487.64 = 900.59/x
  3. Step 3: Cross multiply
    1,077.87x = 1,487.64 × 900.59
  4. Step 4: Simplify right side
    1,077.87x = 1,339,746.27
  5. Step 5: Solve for x
    x = 1,339,746.27/1,077.87
  6. Step 6: Final answer
    x = 1,242.96

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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.