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Finding the Fourth Proportional to 1,154.93, 1,731.83 and 538.92

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Solution

The fourth proportional to 1,154.93, 1,731.83 and 538.92 is: 808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.93 : 1,731.83 = 538.92 : x
  2. Step 2: Convert to fraction form
    1,154.93/1,731.83 = 538.92/x
  3. Step 3: Cross multiply
    1,154.93x = 1,731.83 × 538.92
  4. Step 4: Simplify right side
    1,154.93x = 933,315.13
  5. Step 5: Solve for x
    x = 933,315.13/1,154.93
  6. Step 6: Final answer
    x = 808.12

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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.