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Finding the Fourth Proportional to 906.30, 1,248.75 and 906.30

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Solution

The fourth proportional to 906.30, 1,248.75 and 906.30 is: 1,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.30 : 1,248.75 = 906.30 : x
  2. Step 2: Convert to fraction form
    906.30/1,248.75 = 906.30/x
  3. Step 3: Cross multiply
    906.30x = 1,248.75 × 906.30
  4. Step 4: Simplify right side
    906.30x = 1,131,742.13
  5. Step 5: Solve for x
    x = 1,131,742.13/906.30
  6. Step 6: Final answer
    x = 1,248.75

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.