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Finding the Fourth Proportional to 817.54, 1,225.82 and 557.86

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Solution

The fourth proportional to 817.54, 1,225.82 and 557.86 is: 836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.54 : 1,225.82 = 557.86 : x
  2. Step 2: Convert to fraction form
    817.54/1,225.82 = 557.86/x
  3. Step 3: Cross multiply
    817.54x = 1,225.82 × 557.86
  4. Step 4: Simplify right side
    817.54x = 683,835.95
  5. Step 5: Solve for x
    x = 683,835.95/817.54
  6. Step 6: Final answer
    x = 836.46

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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.