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Finding the Fourth Proportional to 412.48, 614.28 and 402.40

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Solution

The fourth proportional to 412.48, 614.28 and 402.40 is: 599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 614.28 = 402.40 : x
  2. Step 2: Convert to fraction form
    412.48/614.28 = 402.40/x
  3. Step 3: Cross multiply
    412.48x = 614.28 × 402.40
  4. Step 4: Simplify right side
    412.48x = 247,186.27
  5. Step 5: Solve for x
    x = 247,186.27/412.48
  6. Step 6: Final answer
    x = 599.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.