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Finding the Fourth Proportional to 566.86, 782.25 and 342.85

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Solution

The fourth proportional to 566.86, 782.25 and 342.85 is: 473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.86 : 782.25 = 342.85 : x
  2. Step 2: Convert to fraction form
    566.86/782.25 = 342.85/x
  3. Step 3: Cross multiply
    566.86x = 782.25 × 342.85
  4. Step 4: Simplify right side
    566.86x = 268,192.64
  5. Step 5: Solve for x
    x = 268,192.64/566.86
  6. Step 6: Final answer
    x = 473.12

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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.