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Finding the Fourth Proportional to 991.19, 1,478.40 and 934.08

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Solution

The fourth proportional to 991.19, 1,478.40 and 934.08 is: 1,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.19 : 1,478.40 = 934.08 : x
  2. Step 2: Convert to fraction form
    991.19/1,478.40 = 934.08/x
  3. Step 3: Cross multiply
    991.19x = 1,478.40 × 934.08
  4. Step 4: Simplify right side
    991.19x = 1,380,943.87
  5. Step 5: Solve for x
    x = 1,380,943.87/991.19
  6. Step 6: Final answer
    x = 1,393.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.