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Finding the Fourth Proportional to 407.68, 614.56 and 391.20

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Solution

The fourth proportional to 407.68, 614.56 and 391.20 is: 589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 614.56 = 391.20 : x
  2. Step 2: Convert to fraction form
    407.68/614.56 = 391.20/x
  3. Step 3: Cross multiply
    407.68x = 614.56 × 391.20
  4. Step 4: Simplify right side
    407.68x = 240,415.87
  5. Step 5: Solve for x
    x = 240,415.87/407.68
  6. Step 6: Final answer
    x = 589.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.