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Finding the Fourth Proportional to 1,142.70, 1,572.78 and 994.50

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Solution

The fourth proportional to 1,142.70, 1,572.78 and 994.50 is: 1,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.70 : 1,572.78 = 994.50 : x
  2. Step 2: Convert to fraction form
    1,142.70/1,572.78 = 994.50/x
  3. Step 3: Cross multiply
    1,142.70x = 1,572.78 × 994.50
  4. Step 4: Simplify right side
    1,142.70x = 1,564,129.71
  5. Step 5: Solve for x
    x = 1,564,129.71/1,142.70
  6. Step 6: Final answer
    x = 1,368.80

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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.