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Finding the Fourth Proportional to 855.89, 1,181.13 and 462.92

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Solution

The fourth proportional to 855.89, 1,181.13 and 462.92 is: 638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.89 : 1,181.13 = 462.92 : x
  2. Step 2: Convert to fraction form
    855.89/1,181.13 = 462.92/x
  3. Step 3: Cross multiply
    855.89x = 1,181.13 × 462.92
  4. Step 4: Simplify right side
    855.89x = 546,762.79
  5. Step 5: Solve for x
    x = 546,762.79/855.89
  6. Step 6: Final answer
    x = 638.82

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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.