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Finding the Fourth Proportional to 562.55, 776.41 and 338.51

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Solution

The fourth proportional to 562.55, 776.41 and 338.51 is: 467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.55 : 776.41 = 338.51 : x
  2. Step 2: Convert to fraction form
    562.55/776.41 = 338.51/x
  3. Step 3: Cross multiply
    562.55x = 776.41 × 338.51
  4. Step 4: Simplify right side
    562.55x = 262,823.64
  5. Step 5: Solve for x
    x = 262,823.64/562.55
  6. Step 6: Final answer
    x = 467.20

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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.