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Finding the Fourth Proportional to 1,134.62, 1,565.77 and 637.25

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Solution

The fourth proportional to 1,134.62, 1,565.77 and 637.25 is: 879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.62 : 1,565.77 = 637.25 : x
  2. Step 2: Convert to fraction form
    1,134.62/1,565.77 = 637.25/x
  3. Step 3: Cross multiply
    1,134.62x = 1,565.77 × 637.25
  4. Step 4: Simplify right side
    1,134.62x = 997,786.93
  5. Step 5: Solve for x
    x = 997,786.93/1,134.62
  6. Step 6: Final answer
    x = 879.41

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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.