Home / 1,154.91-1,731.60-538.28

Finding the Fourth Proportional to 1,154.91, 1,731.60 and 538.28

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Solution

The fourth proportional to 1,154.91, 1,731.60 and 538.28 is: 807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.91 : 1,731.60 = 538.28 : x
  2. Step 2: Convert to fraction form
    1,154.91/1,731.60 = 538.28/x
  3. Step 3: Cross multiply
    1,154.91x = 1,731.60 × 538.28
  4. Step 4: Simplify right side
    1,154.91x = 932,085.65
  5. Step 5: Solve for x
    x = 932,085.65/1,154.91
  6. Step 6: Final answer
    x = 807.06

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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.