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Finding the Fourth Proportional to 1,225.02, 1,689.36 and 891.13

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Solution

The fourth proportional to 1,225.02, 1,689.36 and 891.13 is: 1,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.02 : 1,689.36 = 891.13 : x
  2. Step 2: Convert to fraction form
    1,225.02/1,689.36 = 891.13/x
  3. Step 3: Cross multiply
    1,225.02x = 1,689.36 × 891.13
  4. Step 4: Simplify right side
    1,225.02x = 1,505,439.38
  5. Step 5: Solve for x
    x = 1,505,439.38/1,225.02
  6. Step 6: Final answer
    x = 1,228.91

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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.