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Finding the Fourth Proportional to 1,077.48, 1,484.48 and 959.46

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Solution

The fourth proportional to 1,077.48, 1,484.48 and 959.46 is: 1,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.48 : 1,484.48 = 959.46 : x
  2. Step 2: Convert to fraction form
    1,077.48/1,484.48 = 959.46/x
  3. Step 3: Cross multiply
    1,077.48x = 1,484.48 × 959.46
  4. Step 4: Simplify right side
    1,077.48x = 1,424,299.18
  5. Step 5: Solve for x
    x = 1,424,299.18/1,077.48
  6. Step 6: Final answer
    x = 1,321.88

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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.