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Finding the Fourth Proportional to 1,142.37, 1,576.40 and 638.19

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Solution

The fourth proportional to 1,142.37, 1,576.40 and 638.19 is: 880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.37 : 1,576.40 = 638.19 : x
  2. Step 2: Convert to fraction form
    1,142.37/1,576.40 = 638.19/x
  3. Step 3: Cross multiply
    1,142.37x = 1,576.40 × 638.19
  4. Step 4: Simplify right side
    1,142.37x = 1,006,039.53
  5. Step 5: Solve for x
    x = 1,006,039.53/1,142.37
  6. Step 6: Final answer
    x = 880.66

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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.