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Finding the Fourth Proportional to 991.47, 1,488.11 and 529.65

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Solution

The fourth proportional to 991.47, 1,488.11 and 529.65 is: 794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.47 : 1,488.11 = 529.65 : x
  2. Step 2: Convert to fraction form
    991.47/1,488.11 = 529.65/x
  3. Step 3: Cross multiply
    991.47x = 1,488.11 × 529.65
  4. Step 4: Simplify right side
    991.47x = 788,177.46
  5. Step 5: Solve for x
    x = 788,177.46/991.47
  6. Step 6: Final answer
    x = 794.96

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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.