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Finding the Fourth Proportional to 907.16, 1,354.95 and 724.01

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Solution

The fourth proportional to 907.16, 1,354.95 and 724.01 is: 1,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.16 : 1,354.95 = 724.01 : x
  2. Step 2: Convert to fraction form
    907.16/1,354.95 = 724.01/x
  3. Step 3: Cross multiply
    907.16x = 1,354.95 × 724.01
  4. Step 4: Simplify right side
    907.16x = 980,990.57
  5. Step 5: Solve for x
    x = 980,990.57/907.16
  6. Step 6: Final answer
    x = 1,081.39

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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.