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Finding the Fourth Proportional to 991.27, 1,483.12 and 616.08

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Solution

The fourth proportional to 991.27, 1,483.12 and 616.08 is: 921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.27 : 1,483.12 = 616.08 : x
  2. Step 2: Convert to fraction form
    991.27/1,483.12 = 616.08/x
  3. Step 3: Cross multiply
    991.27x = 1,483.12 × 616.08
  4. Step 4: Simplify right side
    991.27x = 913,720.57
  5. Step 5: Solve for x
    x = 913,720.57/991.27
  6. Step 6: Final answer
    x = 921.77

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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.