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Finding the Fourth Proportional to 922.48, 1,272.14 and 712.32

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Solution

The fourth proportional to 922.48, 1,272.14 and 712.32 is: 982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.48 : 1,272.14 = 712.32 : x
  2. Step 2: Convert to fraction form
    922.48/1,272.14 = 712.32/x
  3. Step 3: Cross multiply
    922.48x = 1,272.14 × 712.32
  4. Step 4: Simplify right side
    922.48x = 906,170.76
  5. Step 5: Solve for x
    x = 906,170.76/922.48
  6. Step 6: Final answer
    x = 982.32

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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.