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Finding the Fourth Proportional to 1,146.07, 1,581.04 and 703.70

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Solution

The fourth proportional to 1,146.07, 1,581.04 and 703.70 is: 970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.07 : 1,581.04 = 703.70 : x
  2. Step 2: Convert to fraction form
    1,146.07/1,581.04 = 703.70/x
  3. Step 3: Cross multiply
    1,146.07x = 1,581.04 × 703.70
  4. Step 4: Simplify right side
    1,146.07x = 1,112,577.85
  5. Step 5: Solve for x
    x = 1,112,577.85/1,146.07
  6. Step 6: Final answer
    x = 970.78

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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.