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Finding the Fourth Proportional to 562.81, 776.65 and 314.12

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Solution

The fourth proportional to 562.81, 776.65 and 314.12 is: 433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.81 : 776.65 = 314.12 : x
  2. Step 2: Convert to fraction form
    562.81/776.65 = 314.12/x
  3. Step 3: Cross multiply
    562.81x = 776.65 × 314.12
  4. Step 4: Simplify right side
    562.81x = 243,965.24
  5. Step 5: Solve for x
    x = 243,965.24/562.81
  6. Step 6: Final answer
    x = 433.48

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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.