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Finding the Fourth Proportional to 412.71, 618.26 and 410.01

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Solution

The fourth proportional to 412.71, 618.26 and 410.01 is: 614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.71 : 618.26 = 410.01 : x
  2. Step 2: Convert to fraction form
    412.71/618.26 = 410.01/x
  3. Step 3: Cross multiply
    412.71x = 618.26 × 410.01
  4. Step 4: Simplify right side
    412.71x = 253,490.73
  5. Step 5: Solve for x
    x = 253,490.73/412.71
  6. Step 6: Final answer
    x = 614.21

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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.