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Finding the Fourth Proportional to 845.78, 1,167.14 and 472.73

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Solution

The fourth proportional to 845.78, 1,167.14 and 472.73 is: 652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.78 : 1,167.14 = 472.73 : x
  2. Step 2: Convert to fraction form
    845.78/1,167.14 = 472.73/x
  3. Step 3: Cross multiply
    845.78x = 1,167.14 × 472.73
  4. Step 4: Simplify right side
    845.78x = 551,737.44
  5. Step 5: Solve for x
    x = 551,737.44/845.78
  6. Step 6: Final answer
    x = 652.35

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Double scale
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1.5x scale

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.