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Finding the Fourth Proportional to 517.12, 778.74 and 373.84

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Solution

The fourth proportional to 517.12, 778.74 and 373.84 is: 562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 778.74 = 373.84 : x
  2. Step 2: Convert to fraction form
    517.12/778.74 = 373.84/x
  3. Step 3: Cross multiply
    517.12x = 778.74 × 373.84
  4. Step 4: Simplify right side
    517.12x = 291,124.16
  5. Step 5: Solve for x
    x = 291,124.16/517.12
  6. Step 6: Final answer
    x = 562.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.