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Finding the Fourth Proportional to 566.38, 782.32 and 511.10

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Solution

The fourth proportional to 566.38, 782.32 and 511.10 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 782.32 = 511.10 : x
  2. Step 2: Convert to fraction form
    566.38/782.32 = 511.10/x
  3. Step 3: Cross multiply
    566.38x = 782.32 × 511.10
  4. Step 4: Simplify right side
    566.38x = 399,843.75
  5. Step 5: Solve for x
    x = 399,843.75/566.38
  6. Step 6: Final answer
    x = 705.96

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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.