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Finding the Fourth Proportional to 566.90, 782.31 and 342.83

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Solution

The fourth proportional to 566.90, 782.31 and 342.83 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.90 : 782.31 = 342.83 : x
  2. Step 2: Convert to fraction form
    566.90/782.31 = 342.83/x
  3. Step 3: Cross multiply
    566.90x = 782.31 × 342.83
  4. Step 4: Simplify right side
    566.90x = 268,193.71
  5. Step 5: Solve for x
    x = 268,193.71/566.90
  6. Step 6: Final answer
    x = 473.09

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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.