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Finding the Fourth Proportional to 562.47, 776.11 and 319.90

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Solution

The fourth proportional to 562.47, 776.11 and 319.90 is: 441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.47 : 776.11 = 319.90 : x
  2. Step 2: Convert to fraction form
    562.47/776.11 = 319.90/x
  3. Step 3: Cross multiply
    562.47x = 776.11 × 319.90
  4. Step 4: Simplify right side
    562.47x = 248,277.59
  5. Step 5: Solve for x
    x = 248,277.59/562.47
  6. Step 6: Final answer
    x = 441.41

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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.