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Finding the Fourth Proportional to 930.74, 1,274.90 and 918.90

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Solution

The fourth proportional to 930.74, 1,274.90 and 918.90 is: 1,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.74 : 1,274.90 = 918.90 : x
  2. Step 2: Convert to fraction form
    930.74/1,274.90 = 918.90/x
  3. Step 3: Cross multiply
    930.74x = 1,274.90 × 918.90
  4. Step 4: Simplify right side
    930.74x = 1,171,501.02
  5. Step 5: Solve for x
    x = 1,171,501.02/930.74
  6. Step 6: Final answer
    x = 1,258.68

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