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Finding the Fourth Proportional to 942.29, 1,412.01 and 576.98

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Solution

The fourth proportional to 942.29, 1,412.01 and 576.98 is: 864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.29 : 1,412.01 = 576.98 : x
  2. Step 2: Convert to fraction form
    942.29/1,412.01 = 576.98/x
  3. Step 3: Cross multiply
    942.29x = 1,412.01 × 576.98
  4. Step 4: Simplify right side
    942.29x = 814,694.47
  5. Step 5: Solve for x
    x = 814,694.47/942.29
  6. Step 6: Final answer
    x = 864.59

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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.