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Finding the Fourth Proportional to 562.46, 776.01 and 313.74

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Solution

The fourth proportional to 562.46, 776.01 and 313.74 is: 432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.46 : 776.01 = 313.74 : x
  2. Step 2: Convert to fraction form
    562.46/776.01 = 313.74/x
  3. Step 3: Cross multiply
    562.46x = 776.01 × 313.74
  4. Step 4: Simplify right side
    562.46x = 243,466.55
  5. Step 5: Solve for x
    x = 243,466.55/562.46
  6. Step 6: Final answer
    x = 432.86

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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.