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Finding the Fourth Proportional to 921.72, 1,277.46 and 904.44

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Solution

The fourth proportional to 921.72, 1,277.46 and 904.44 is: 1,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.72 : 1,277.46 = 904.44 : x
  2. Step 2: Convert to fraction form
    921.72/1,277.46 = 904.44/x
  3. Step 3: Cross multiply
    921.72x = 1,277.46 × 904.44
  4. Step 4: Simplify right side
    921.72x = 1,155,385.92
  5. Step 5: Solve for x
    x = 1,155,385.92/921.72
  6. Step 6: Final answer
    x = 1,253.51

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.