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Finding the Fourth Proportional to 1,475.91, 2,212.47 and 654.30

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Solution

The fourth proportional to 1,475.91, 2,212.47 and 654.30 is: 980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.91 : 2,212.47 = 654.30 : x
  2. Step 2: Convert to fraction form
    1,475.91/2,212.47 = 654.30/x
  3. Step 3: Cross multiply
    1,475.91x = 2,212.47 × 654.30
  4. Step 4: Simplify right side
    1,475.91x = 1,447,619.12
  5. Step 5: Solve for x
    x = 1,447,619.12/1,475.91
  6. Step 6: Final answer
    x = 980.83

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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.