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Finding the Fourth Proportional to 1,442.96, 2,164.34 and 576.66

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Solution

The fourth proportional to 1,442.96, 2,164.34 and 576.66 is: 864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.96 : 2,164.34 = 576.66 : x
  2. Step 2: Convert to fraction form
    1,442.96/2,164.34 = 576.66/x
  3. Step 3: Cross multiply
    1,442.96x = 2,164.34 × 576.66
  4. Step 4: Simplify right side
    1,442.96x = 1,248,088.30
  5. Step 5: Solve for x
    x = 1,248,088.30/1,442.96
  6. Step 6: Final answer
    x = 864.95

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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.