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Finding the Fourth Proportional to 419.61, 624.97 and 397.65

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Solution

The fourth proportional to 419.61, 624.97 and 397.65 is: 592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.61 : 624.97 = 397.65 : x
  2. Step 2: Convert to fraction form
    419.61/624.97 = 397.65/x
  3. Step 3: Cross multiply
    419.61x = 624.97 × 397.65
  4. Step 4: Simplify right side
    419.61x = 248,519.32
  5. Step 5: Solve for x
    x = 248,519.32/419.61
  6. Step 6: Final answer
    x = 592.26

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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.