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Finding the Fourth Proportional to 1,126.56, 1,680.54 and 954.30

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Solution

The fourth proportional to 1,126.56, 1,680.54 and 954.30 is: 1,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.56 : 1,680.54 = 954.30 : x
  2. Step 2: Convert to fraction form
    1,126.56/1,680.54 = 954.30/x
  3. Step 3: Cross multiply
    1,126.56x = 1,680.54 × 954.30
  4. Step 4: Simplify right side
    1,126.56x = 1,603,739.32
  5. Step 5: Solve for x
    x = 1,603,739.32/1,126.56
  6. Step 6: Final answer
    x = 1,423.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.