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Finding the Fourth Proportional to 557.90, 836.94 and 314.90

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Solution

The fourth proportional to 557.90, 836.94 and 314.90 is: 472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.90 : 836.94 = 314.90 : x
  2. Step 2: Convert to fraction form
    557.90/836.94 = 314.90/x
  3. Step 3: Cross multiply
    557.90x = 836.94 × 314.90
  4. Step 4: Simplify right side
    557.90x = 263,552.41
  5. Step 5: Solve for x
    x = 263,552.41/557.90
  6. Step 6: Final answer
    x = 472.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.