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Finding the Fourth Proportional to 1,124.48, 1,679.14 and 919.46

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Solution

The fourth proportional to 1,124.48, 1,679.14 and 919.46 is: 1,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.48 : 1,679.14 = 919.46 : x
  2. Step 2: Convert to fraction form
    1,124.48/1,679.14 = 919.46/x
  3. Step 3: Cross multiply
    1,124.48x = 1,679.14 × 919.46
  4. Step 4: Simplify right side
    1,124.48x = 1,543,902.06
  5. Step 5: Solve for x
    x = 1,543,902.06/1,124.48
  6. Step 6: Final answer
    x = 1,372.99

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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.