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Finding the Fourth Proportional to 1,486.67, 2,230.40 and 562.25

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Solution

The fourth proportional to 1,486.67, 2,230.40 and 562.25 is: 843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.67 : 2,230.40 = 562.25 : x
  2. Step 2: Convert to fraction form
    1,486.67/2,230.40 = 562.25/x
  3. Step 3: Cross multiply
    1,486.67x = 2,230.40 × 562.25
  4. Step 4: Simplify right side
    1,486.67x = 1,254,028.44
  5. Step 5: Solve for x
    x = 1,254,028.44/1,486.67
  6. Step 6: Final answer
    x = 843.52

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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.