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Finding the Fourth Proportional to 1,135, 1,691.22 and 1,012.35

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Solution

The fourth proportional to 1,135, 1,691.22 and 1,012.35 is: 1,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135 : 1,691.22 = 1,012.35 : x
  2. Step 2: Convert to fraction form
    1,135/1,691.22 = 1,012.35/x
  3. Step 3: Cross multiply
    1,135x = 1,691.22 × 1,012.35
  4. Step 4: Simplify right side
    1,135x = 1,712,106.57
  5. Step 5: Solve for x
    x = 1,712,106.57/1,135
  6. Step 6: Final answer
    x = 1,508.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.