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Finding the Fourth Proportional to 867.62, 1,301.28 and 340.55

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Solution

The fourth proportional to 867.62, 1,301.28 and 340.55 is: 510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.62 : 1,301.28 = 340.55 : x
  2. Step 2: Convert to fraction form
    867.62/1,301.28 = 340.55/x
  3. Step 3: Cross multiply
    867.62x = 1,301.28 × 340.55
  4. Step 4: Simplify right side
    867.62x = 443,150.90
  5. Step 5: Solve for x
    x = 443,150.90/867.62
  6. Step 6: Final answer
    x = 510.77

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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.