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Finding the Fourth Proportional to 1,143.04, 1,576.06 and 789.15

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Solution

The fourth proportional to 1,143.04, 1,576.06 and 789.15 is: 1,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.04 : 1,576.06 = 789.15 : x
  2. Step 2: Convert to fraction form
    1,143.04/1,576.06 = 789.15/x
  3. Step 3: Cross multiply
    1,143.04x = 1,576.06 × 789.15
  4. Step 4: Simplify right side
    1,143.04x = 1,243,747.75
  5. Step 5: Solve for x
    x = 1,243,747.75/1,143.04
  6. Step 6: Final answer
    x = 1,088.11

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Half scale
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Double scale
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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.