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Finding the Fourth Proportional to 567.74, 783.27 and 378.61

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Solution

The fourth proportional to 567.74, 783.27 and 378.61 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.74 : 783.27 = 378.61 : x
  2. Step 2: Convert to fraction form
    567.74/783.27 = 378.61/x
  3. Step 3: Cross multiply
    567.74x = 783.27 × 378.61
  4. Step 4: Simplify right side
    567.74x = 296,551.90
  5. Step 5: Solve for x
    x = 296,551.90/567.74
  6. Step 6: Final answer
    x = 522.34

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Double scale
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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.