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Finding the Fourth Proportional to 1,146.87, 1,581.75 and 703.98

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Solution

The fourth proportional to 1,146.87, 1,581.75 and 703.98 is: 970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.87 : 1,581.75 = 703.98 : x
  2. Step 2: Convert to fraction form
    1,146.87/1,581.75 = 703.98/x
  3. Step 3: Cross multiply
    1,146.87x = 1,581.75 × 703.98
  4. Step 4: Simplify right side
    1,146.87x = 1,113,520.37
  5. Step 5: Solve for x
    x = 1,113,520.37/1,146.87
  6. Step 6: Final answer
    x = 970.92

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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.