Home / 1,146.32-1,577.57-1,097.11

Finding the Fourth Proportional to 1,146.32, 1,577.57 and 1,097.11

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Solution

The fourth proportional to 1,146.32, 1,577.57 and 1,097.11 is: 1,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.32 : 1,577.57 = 1,097.11 : x
  2. Step 2: Convert to fraction form
    1,146.32/1,577.57 = 1,097.11/x
  3. Step 3: Cross multiply
    1,146.32x = 1,577.57 × 1,097.11
  4. Step 4: Simplify right side
    1,146.32x = 1,730,758.39
  5. Step 5: Solve for x
    x = 1,730,758.39/1,146.32
  6. Step 6: Final answer
    x = 1,509.85

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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.