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Finding the Fourth Proportional to 562.41, 776.21 and 415.47

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Solution

The fourth proportional to 562.41, 776.21 and 415.47 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.41 : 776.21 = 415.47 : x
  2. Step 2: Convert to fraction form
    562.41/776.21 = 415.47/x
  3. Step 3: Cross multiply
    562.41x = 776.21 × 415.47
  4. Step 4: Simplify right side
    562.41x = 322,489.65
  5. Step 5: Solve for x
    x = 322,489.65/562.41
  6. Step 6: Final answer
    x = 573.41

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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.