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Finding the Fourth Proportional to 991.61, 1,485.42 and 472.11

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Solution

The fourth proportional to 991.61, 1,485.42 and 472.11 is: 707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.61 : 1,485.42 = 472.11 : x
  2. Step 2: Convert to fraction form
    991.61/1,485.42 = 472.11/x
  3. Step 3: Cross multiply
    991.61x = 1,485.42 × 472.11
  4. Step 4: Simplify right side
    991.61x = 701,281.64
  5. Step 5: Solve for x
    x = 701,281.64/991.61
  6. Step 6: Final answer
    x = 707.22

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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.