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Finding the Fourth Proportional to 1,151.76, 1,596.15 and 1,129.88

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Solution

The fourth proportional to 1,151.76, 1,596.15 and 1,129.88 is: 1,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.76 : 1,596.15 = 1,129.88 : x
  2. Step 2: Convert to fraction form
    1,151.76/1,596.15 = 1,129.88/x
  3. Step 3: Cross multiply
    1,151.76x = 1,596.15 × 1,129.88
  4. Step 4: Simplify right side
    1,151.76x = 1,803,457.96
  5. Step 5: Solve for x
    x = 1,803,457.96/1,151.76
  6. Step 6: Final answer
    x = 1,565.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.