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Finding the Fourth Proportional to 564.29, 782.00 and 553.36

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Solution

The fourth proportional to 564.29, 782.00 and 553.36 is: 766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.29 : 782.00 = 553.36 : x
  2. Step 2: Convert to fraction form
    564.29/782.00 = 553.36/x
  3. Step 3: Cross multiply
    564.29x = 782.00 × 553.36
  4. Step 4: Simplify right side
    564.29x = 432,727.25
  5. Step 5: Solve for x
    x = 432,727.25/564.29
  6. Step 6: Final answer
    x = 766.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.