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Finding the Fourth Proportional to 992.37, 1,488.51 and 576.51

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Solution

The fourth proportional to 992.37, 1,488.51 and 576.51 is: 864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.37 : 1,488.51 = 576.51 : x
  2. Step 2: Convert to fraction form
    992.37/1,488.51 = 576.51/x
  3. Step 3: Cross multiply
    992.37x = 1,488.51 × 576.51
  4. Step 4: Simplify right side
    992.37x = 858,140.90
  5. Step 5: Solve for x
    x = 858,140.90/992.37
  6. Step 6: Final answer
    x = 864.74

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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.