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Finding the Fourth Proportional to 991.65, 1,487.16 and 471.50

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Solution

The fourth proportional to 991.65, 1,487.16 and 471.50 is: 707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.65 : 1,487.16 = 471.50 : x
  2. Step 2: Convert to fraction form
    991.65/1,487.16 = 471.50/x
  3. Step 3: Cross multiply
    991.65x = 1,487.16 × 471.50
  4. Step 4: Simplify right side
    991.65x = 701,195.94
  5. Step 5: Solve for x
    x = 701,195.94/991.65
  6. Step 6: Final answer
    x = 707.10

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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.