Home / 1,154.10-1,731.28-460.74

Finding the Fourth Proportional to 1,154.10, 1,731.28 and 460.74

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Solution

The fourth proportional to 1,154.10, 1,731.28 and 460.74 is: 691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.10 : 1,731.28 = 460.74 : x
  2. Step 2: Convert to fraction form
    1,154.10/1,731.28 = 460.74/x
  3. Step 3: Cross multiply
    1,154.10x = 1,731.28 × 460.74
  4. Step 4: Simplify right side
    1,154.10x = 797,669.95
  5. Step 5: Solve for x
    x = 797,669.95/1,154.10
  6. Step 6: Final answer
    x = 691.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.