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Finding the Fourth Proportional to 709.99, 980.06 and 533

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Solution

The fourth proportional to 709.99, 980.06 and 533 is: 735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.99 : 980.06 = 533 : x
  2. Step 2: Convert to fraction form
    709.99/980.06 = 533/x
  3. Step 3: Cross multiply
    709.99x = 980.06 × 533
  4. Step 4: Simplify right side
    709.99x = 522,371.98
  5. Step 5: Solve for x
    x = 522,371.98/709.99
  6. Step 6: Final answer
    x = 735.75

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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.