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Finding the Fourth Proportional to 983.62, 1,474.01 and 567.14

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Solution

The fourth proportional to 983.62, 1,474.01 and 567.14 is: 849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.62 : 1,474.01 = 567.14 : x
  2. Step 2: Convert to fraction form
    983.62/1,474.01 = 567.14/x
  3. Step 3: Cross multiply
    983.62x = 1,474.01 × 567.14
  4. Step 4: Simplify right side
    983.62x = 835,966.19
  5. Step 5: Solve for x
    x = 835,966.19/983.62
  6. Step 6: Final answer
    x = 849.89

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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.