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Finding the Fourth Proportional to 1,134.39, 1,565.57 and 637.07

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Solution

The fourth proportional to 1,134.39, 1,565.57 and 637.07 is: 879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.39 : 1,565.57 = 637.07 : x
  2. Step 2: Convert to fraction form
    1,134.39/1,565.57 = 637.07/x
  3. Step 3: Cross multiply
    1,134.39x = 1,565.57 × 637.07
  4. Step 4: Simplify right side
    1,134.39x = 997,374.49
  5. Step 5: Solve for x
    x = 997,374.49/1,134.39
  6. Step 6: Final answer
    x = 879.22

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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.