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Finding the Fourth Proportional to 562.13, 775.74 and 340.93

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Solution

The fourth proportional to 562.13, 775.74 and 340.93 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 775.74 = 340.93 : x
  2. Step 2: Convert to fraction form
    562.13/775.74 = 340.93/x
  3. Step 3: Cross multiply
    562.13x = 775.74 × 340.93
  4. Step 4: Simplify right side
    562.13x = 264,473.04
  5. Step 5: Solve for x
    x = 264,473.04/562.13
  6. Step 6: Final answer
    x = 470.48

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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.