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Finding the Fourth Proportional to 557.50, 836.40 and 455.76

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Solution

The fourth proportional to 557.50, 836.40 and 455.76 is: 683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.50 : 836.40 = 455.76 : x
  2. Step 2: Convert to fraction form
    557.50/836.40 = 455.76/x
  3. Step 3: Cross multiply
    557.50x = 836.40 × 455.76
  4. Step 4: Simplify right side
    557.50x = 381,197.66
  5. Step 5: Solve for x
    x = 381,197.66/557.50
  6. Step 6: Final answer
    x = 683.76

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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.