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Finding the Fourth Proportional to 562.76, 776.61 and 314.09

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Solution

The fourth proportional to 562.76, 776.61 and 314.09 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.76 : 776.61 = 314.09 : x
  2. Step 2: Convert to fraction form
    562.76/776.61 = 314.09/x
  3. Step 3: Cross multiply
    562.76x = 776.61 × 314.09
  4. Step 4: Simplify right side
    562.76x = 243,925.43
  5. Step 5: Solve for x
    x = 243,925.43/562.76
  6. Step 6: Final answer
    x = 433.44

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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.