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Finding the Fourth Proportional to 562.46, 776.10 and 313.77

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Solution

The fourth proportional to 562.46, 776.10 and 313.77 is: 432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.46 : 776.10 = 313.77 : x
  2. Step 2: Convert to fraction form
    562.46/776.10 = 313.77/x
  3. Step 3: Cross multiply
    562.46x = 776.10 × 313.77
  4. Step 4: Simplify right side
    562.46x = 243,516.90
  5. Step 5: Solve for x
    x = 243,516.90/562.46
  6. Step 6: Final answer
    x = 432.95

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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.