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Finding the Fourth Proportional to 1,347.62, 2,020.08 and 525.38

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Solution

The fourth proportional to 1,347.62, 2,020.08 and 525.38 is: 787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.62 : 2,020.08 = 525.38 : x
  2. Step 2: Convert to fraction form
    1,347.62/2,020.08 = 525.38/x
  3. Step 3: Cross multiply
    1,347.62x = 2,020.08 × 525.38
  4. Step 4: Simplify right side
    1,347.62x = 1,061,309.63
  5. Step 5: Solve for x
    x = 1,061,309.63/1,347.62
  6. Step 6: Final answer
    x = 787.54

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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.