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Finding the Fourth Proportional to 991.06, 1,487.36 and 497.97

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Solution

The fourth proportional to 991.06, 1,487.36 and 497.97 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.06 : 1,487.36 = 497.97 : x
  2. Step 2: Convert to fraction form
    991.06/1,487.36 = 497.97/x
  3. Step 3: Cross multiply
    991.06x = 1,487.36 × 497.97
  4. Step 4: Simplify right side
    991.06x = 740,666.09
  5. Step 5: Solve for x
    x = 740,666.09/991.06
  6. Step 6: Final answer
    x = 747.35

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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.