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Finding the Fourth Proportional to 911.33, 1,257.42 and 631.10

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Solution

The fourth proportional to 911.33, 1,257.42 and 631.10 is: 870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.33 : 1,257.42 = 631.10 : x
  2. Step 2: Convert to fraction form
    911.33/1,257.42 = 631.10/x
  3. Step 3: Cross multiply
    911.33x = 1,257.42 × 631.10
  4. Step 4: Simplify right side
    911.33x = 793,557.76
  5. Step 5: Solve for x
    x = 793,557.76/911.33
  6. Step 6: Final answer
    x = 870.77

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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.