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Finding the Fourth Proportional to 782.56, 1,174.25 and 567.91

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Solution

The fourth proportional to 782.56, 1,174.25 and 567.91 is: 852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.56 : 1,174.25 = 567.91 : x
  2. Step 2: Convert to fraction form
    782.56/1,174.25 = 567.91/x
  3. Step 3: Cross multiply
    782.56x = 1,174.25 × 567.91
  4. Step 4: Simplify right side
    782.56x = 666,868.32
  5. Step 5: Solve for x
    x = 666,868.32/782.56
  6. Step 6: Final answer
    x = 852.16

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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.