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Finding the Fourth Proportional to 1,162.76, 1,742.18 and 576.98

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Solution

The fourth proportional to 1,162.76, 1,742.18 and 576.98 is: 864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.76 : 1,742.18 = 576.98 : x
  2. Step 2: Convert to fraction form
    1,162.76/1,742.18 = 576.98/x
  3. Step 3: Cross multiply
    1,162.76x = 1,742.18 × 576.98
  4. Step 4: Simplify right side
    1,162.76x = 1,005,203.02
  5. Step 5: Solve for x
    x = 1,005,203.02/1,162.76
  6. Step 6: Final answer
    x = 864.50

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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.