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Finding the Fourth Proportional to 923.78, 1,274.41 and 624.92

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Solution

The fourth proportional to 923.78, 1,274.41 and 624.92 is: 862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.78 : 1,274.41 = 624.92 : x
  2. Step 2: Convert to fraction form
    923.78/1,274.41 = 624.92/x
  3. Step 3: Cross multiply
    923.78x = 1,274.41 × 624.92
  4. Step 4: Simplify right side
    923.78x = 796,405.09
  5. Step 5: Solve for x
    x = 796,405.09/923.78
  6. Step 6: Final answer
    x = 862.11

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.