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Finding the Fourth Proportional to 1,049.77, 1,445.38 and 952.57

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Solution

The fourth proportional to 1,049.77, 1,445.38 and 952.57 is: 1,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.77 : 1,445.38 = 952.57 : x
  2. Step 2: Convert to fraction form
    1,049.77/1,445.38 = 952.57/x
  3. Step 3: Cross multiply
    1,049.77x = 1,445.38 × 952.57
  4. Step 4: Simplify right side
    1,049.77x = 1,376,825.63
  5. Step 5: Solve for x
    x = 1,376,825.63/1,049.77
  6. Step 6: Final answer
    x = 1,311.55

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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.