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Finding the Fourth Proportional to 1,362.19, 2,042.82 and 437.52

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Solution

The fourth proportional to 1,362.19, 2,042.82 and 437.52 is: 656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.19 : 2,042.82 = 437.52 : x
  2. Step 2: Convert to fraction form
    1,362.19/2,042.82 = 437.52/x
  3. Step 3: Cross multiply
    1,362.19x = 2,042.82 × 437.52
  4. Step 4: Simplify right side
    1,362.19x = 893,782.93
  5. Step 5: Solve for x
    x = 893,782.93/1,362.19
  6. Step 6: Final answer
    x = 656.14

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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.