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Finding the Fourth Proportional to 1,475.20, 2,212.08 and 859.12

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Solution

The fourth proportional to 1,475.20, 2,212.08 and 859.12 is: 1,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.20 : 2,212.08 = 859.12 : x
  2. Step 2: Convert to fraction form
    1,475.20/2,212.08 = 859.12/x
  3. Step 3: Cross multiply
    1,475.20x = 2,212.08 × 859.12
  4. Step 4: Simplify right side
    1,475.20x = 1,900,442.17
  5. Step 5: Solve for x
    x = 1,900,442.17/1,475.20
  6. Step 6: Final answer
    x = 1,288.26

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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.