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Finding the Fourth Proportional to 390.72, 588.90 and 374.25

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Solution

The fourth proportional to 390.72, 588.90 and 374.25 is: 564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.72 : 588.90 = 374.25 : x
  2. Step 2: Convert to fraction form
    390.72/588.90 = 374.25/x
  3. Step 3: Cross multiply
    390.72x = 588.90 × 374.25
  4. Step 4: Simplify right side
    390.72x = 220,395.83
  5. Step 5: Solve for x
    x = 220,395.83/390.72
  6. Step 6: Final answer
    x = 564.08

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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.