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Finding the Fourth Proportional to 1,134.44, 1,565.69 and 637.20

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Solution

The fourth proportional to 1,134.44, 1,565.69 and 637.20 is: 879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.44 : 1,565.69 = 637.20 : x
  2. Step 2: Convert to fraction form
    1,134.44/1,565.69 = 637.20/x
  3. Step 3: Cross multiply
    1,134.44x = 1,565.69 × 637.20
  4. Step 4: Simplify right side
    1,134.44x = 997,657.67
  5. Step 5: Solve for x
    x = 997,657.67/1,134.44
  6. Step 6: Final answer
    x = 879.43

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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.