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Finding the Fourth Proportional to 624.65, 862.26 and 411.93

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Solution

The fourth proportional to 624.65, 862.26 and 411.93 is: 568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.65 : 862.26 = 411.93 : x
  2. Step 2: Convert to fraction form
    624.65/862.26 = 411.93/x
  3. Step 3: Cross multiply
    624.65x = 862.26 × 411.93
  4. Step 4: Simplify right side
    624.65x = 355,192.11
  5. Step 5: Solve for x
    x = 355,192.11/624.65
  6. Step 6: Final answer
    x = 568.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.