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Finding the Fourth Proportional to 991.71, 1,485.55 and 470.13

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Solution

The fourth proportional to 991.71, 1,485.55 and 470.13 is: 704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.71 : 1,485.55 = 470.13 : x
  2. Step 2: Convert to fraction form
    991.71/1,485.55 = 470.13/x
  3. Step 3: Cross multiply
    991.71x = 1,485.55 × 470.13
  4. Step 4: Simplify right side
    991.71x = 698,399.27
  5. Step 5: Solve for x
    x = 698,399.27/991.71
  6. Step 6: Final answer
    x = 704.24

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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.