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Finding the Fourth Proportional to 833.14, 1,247.28 and 615.25

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Solution

The fourth proportional to 833.14, 1,247.28 and 615.25 is: 921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,247.28 = 615.25 : x
  2. Step 2: Convert to fraction form
    833.14/1,247.28 = 615.25/x
  3. Step 3: Cross multiply
    833.14x = 1,247.28 × 615.25
  4. Step 4: Simplify right side
    833.14x = 767,389.02
  5. Step 5: Solve for x
    x = 767,389.02/833.14
  6. Step 6: Final answer
    x = 921.08

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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.