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Finding the Fourth Proportional to 1,155.46, 1,591.77 and 955

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Solution

The fourth proportional to 1,155.46, 1,591.77 and 955 is: 1,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.46 : 1,591.77 = 955 : x
  2. Step 2: Convert to fraction form
    1,155.46/1,591.77 = 955/x
  3. Step 3: Cross multiply
    1,155.46x = 1,591.77 × 955
  4. Step 4: Simplify right side
    1,155.46x = 1,520,140.35
  5. Step 5: Solve for x
    x = 1,520,140.35/1,155.46
  6. Step 6: Final answer
    x = 1,315.61

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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.