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Finding the Fourth Proportional to 1,131.51, 1,561.41 and 634.17

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Solution

The fourth proportional to 1,131.51, 1,561.41 and 634.17 is: 875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.51 : 1,561.41 = 634.17 : x
  2. Step 2: Convert to fraction form
    1,131.51/1,561.41 = 634.17/x
  3. Step 3: Cross multiply
    1,131.51x = 1,561.41 × 634.17
  4. Step 4: Simplify right side
    1,131.51x = 990,199.38
  5. Step 5: Solve for x
    x = 990,199.38/1,131.51
  6. Step 6: Final answer
    x = 875.11

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Half 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.