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Finding the Fourth Proportional to 1,486.30, 2,229.48 and 562.30

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Solution

The fourth proportional to 1,486.30, 2,229.48 and 562.30 is: 843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.30 : 2,229.48 = 562.30 : x
  2. Step 2: Convert to fraction form
    1,486.30/2,229.48 = 562.30/x
  3. Step 3: Cross multiply
    1,486.30x = 2,229.48 × 562.30
  4. Step 4: Simplify right side
    1,486.30x = 1,253,625.46
  5. Step 5: Solve for x
    x = 1,253,625.46/1,486.30
  6. Step 6: Final answer
    x = 843.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.