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Finding the Fourth Proportional to 566.30, 782.03 and 535.62

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Solution

The fourth proportional to 566.30, 782.03 and 535.62 is: 739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.30 : 782.03 = 535.62 : x
  2. Step 2: Convert to fraction form
    566.30/782.03 = 535.62/x
  3. Step 3: Cross multiply
    566.30x = 782.03 × 535.62
  4. Step 4: Simplify right side
    566.30x = 418,868.23
  5. Step 5: Solve for x
    x = 418,868.23/566.30
  6. Step 6: Final answer
    x = 739.65

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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.