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Finding the Fourth Proportional to 1,008.07, 1,391.20 and 758.95

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Solution

The fourth proportional to 1,008.07, 1,391.20 and 758.95 is: 1,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.07 : 1,391.20 = 758.95 : x
  2. Step 2: Convert to fraction form
    1,008.07/1,391.20 = 758.95/x
  3. Step 3: Cross multiply
    1,008.07x = 1,391.20 × 758.95
  4. Step 4: Simplify right side
    1,008.07x = 1,055,845.86
  5. Step 5: Solve for x
    x = 1,055,845.86/1,008.07
  6. Step 6: Final answer
    x = 1,047.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.