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Finding the Fourth Proportional to 412.52, 614.90 and 389.02

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Solution

The fourth proportional to 412.52, 614.90 and 389.02 is: 579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.52 : 614.90 = 389.02 : x
  2. Step 2: Convert to fraction form
    412.52/614.90 = 389.02/x
  3. Step 3: Cross multiply
    412.52x = 614.90 × 389.02
  4. Step 4: Simplify right side
    412.52x = 239,208.40
  5. Step 5: Solve for x
    x = 239,208.40/412.52
  6. Step 6: Final answer
    x = 579.87

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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.