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Finding the Fourth Proportional to 1,071.66, 1,608.10 and 422.85

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Solution

The fourth proportional to 1,071.66, 1,608.10 and 422.85 is: 634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.66 : 1,608.10 = 422.85 : x
  2. Step 2: Convert to fraction form
    1,071.66/1,608.10 = 422.85/x
  3. Step 3: Cross multiply
    1,071.66x = 1,608.10 × 422.85
  4. Step 4: Simplify right side
    1,071.66x = 679,985.09
  5. Step 5: Solve for x
    x = 679,985.09/1,071.66
  6. Step 6: Final answer
    x = 634.52

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Double scale
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1.5x scale

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.