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Finding the Fourth Proportional to 566.47, 782.00 and 356.75

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Solution

The fourth proportional to 566.47, 782.00 and 356.75 is: 492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.47 : 782.00 = 356.75 : x
  2. Step 2: Convert to fraction form
    566.47/782.00 = 356.75/x
  3. Step 3: Cross multiply
    566.47x = 782.00 × 356.75
  4. Step 4: Simplify right side
    566.47x = 278,973.70
  5. Step 5: Solve for x
    x = 278,973.70/566.47
  6. Step 6: Final answer
    x = 492.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.