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Finding the Fourth Proportional to 1,598.68, 2,207.28 and 1,225

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Solution

The fourth proportional to 1,598.68, 2,207.28 and 1,225 is: 1,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.68 : 2,207.28 = 1,225 : x
  2. Step 2: Convert to fraction form
    1,598.68/2,207.28 = 1,225/x
  3. Step 3: Cross multiply
    1,598.68x = 2,207.28 × 1,225
  4. Step 4: Simplify right side
    1,598.68x = 2,703,918.00
  5. Step 5: Solve for x
    x = 2,703,918.00/1,598.68
  6. Step 6: Final answer
    x = 1,691.34

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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.