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Finding the Fourth Proportional to 562.15, 775.65 and 341.07

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Solution

The fourth proportional to 562.15, 775.65 and 341.07 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.15 : 775.65 = 341.07 : x
  2. Step 2: Convert to fraction form
    562.15/775.65 = 341.07/x
  3. Step 3: Cross multiply
    562.15x = 775.65 × 341.07
  4. Step 4: Simplify right side
    562.15x = 264,550.95
  5. Step 5: Solve for x
    x = 264,550.95/562.15
  6. Step 6: Final answer
    x = 470.61

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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.