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Finding the Fourth Proportional to 1,155.43, 1,730.80 and 538.28

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Solution

The fourth proportional to 1,155.43, 1,730.80 and 538.28 is: 806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.43 : 1,730.80 = 538.28 : x
  2. Step 2: Convert to fraction form
    1,155.43/1,730.80 = 538.28/x
  3. Step 3: Cross multiply
    1,155.43x = 1,730.80 × 538.28
  4. Step 4: Simplify right side
    1,155.43x = 931,643.68
  5. Step 5: Solve for x
    x = 931,643.68/1,155.43
  6. Step 6: Final answer
    x = 806.32

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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.