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Finding the Fourth Proportional to 1,307.82, 1,962.09 and 527.34

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Solution

The fourth proportional to 1,307.82, 1,962.09 and 527.34 is: 791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.82 : 1,962.09 = 527.34 : x
  2. Step 2: Convert to fraction form
    1,307.82/1,962.09 = 527.34/x
  3. Step 3: Cross multiply
    1,307.82x = 1,962.09 × 527.34
  4. Step 4: Simplify right side
    1,307.82x = 1,034,688.54
  5. Step 5: Solve for x
    x = 1,034,688.54/1,307.82
  6. Step 6: Final answer
    x = 791.16

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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.