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Finding the Fourth Proportional to 1,412.42, 2,118.62 and 642.38

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Solution

The fourth proportional to 1,412.42, 2,118.62 and 642.38 is: 963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.42 : 2,118.62 = 642.38 : x
  2. Step 2: Convert to fraction form
    1,412.42/2,118.62 = 642.38/x
  3. Step 3: Cross multiply
    1,412.42x = 2,118.62 × 642.38
  4. Step 4: Simplify right side
    1,412.42x = 1,360,950.13
  5. Step 5: Solve for x
    x = 1,360,950.13/1,412.42
  6. Step 6: Final answer
    x = 963.56

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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.