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Finding the Fourth Proportional to 1,135.32, 1,565.95 and 1,097.22

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Solution

The fourth proportional to 1,135.32, 1,565.95 and 1,097.22 is: 1,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.32 : 1,565.95 = 1,097.22 : x
  2. Step 2: Convert to fraction form
    1,135.32/1,565.95 = 1,097.22/x
  3. Step 3: Cross multiply
    1,135.32x = 1,565.95 × 1,097.22
  4. Step 4: Simplify right side
    1,135.32x = 1,718,191.66
  5. Step 5: Solve for x
    x = 1,718,191.66/1,135.32
  6. Step 6: Final answer
    x = 1,513.40

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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.