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Finding the Fourth Proportional to 912.14, 1,258.75 and 498.14

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Solution

The fourth proportional to 912.14, 1,258.75 and 498.14 is: 687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.14 : 1,258.75 = 498.14 : x
  2. Step 2: Convert to fraction form
    912.14/1,258.75 = 498.14/x
  3. Step 3: Cross multiply
    912.14x = 1,258.75 × 498.14
  4. Step 4: Simplify right side
    912.14x = 627,033.73
  5. Step 5: Solve for x
    x = 627,033.73/912.14
  6. Step 6: Final answer
    x = 687.43

Related Problems

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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.