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Finding the Fourth Proportional to 754.47, 1,130.91 and 260.72

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Solution

The fourth proportional to 754.47, 1,130.91 and 260.72 is: 390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.47 : 1,130.91 = 260.72 : x
  2. Step 2: Convert to fraction form
    754.47/1,130.91 = 260.72/x
  3. Step 3: Cross multiply
    754.47x = 1,130.91 × 260.72
  4. Step 4: Simplify right side
    754.47x = 294,853.68
  5. Step 5: Solve for x
    x = 294,853.68/754.47
  6. Step 6: Final answer
    x = 390.81

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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.