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Finding the Fourth Proportional to 991.01, 1,488.05 and 947.18

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Solution

The fourth proportional to 991.01, 1,488.05 and 947.18 is: 1,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.01 : 1,488.05 = 947.18 : x
  2. Step 2: Convert to fraction form
    991.01/1,488.05 = 947.18/x
  3. Step 3: Cross multiply
    991.01x = 1,488.05 × 947.18
  4. Step 4: Simplify right side
    991.01x = 1,409,439.02
  5. Step 5: Solve for x
    x = 1,409,439.02/991.01
  6. Step 6: Final answer
    x = 1,422.23

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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.