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Finding the Fourth Proportional to 782.47, 1,079.21 and 533.36

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Solution

The fourth proportional to 782.47, 1,079.21 and 533.36 is: 735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.47 : 1,079.21 = 533.36 : x
  2. Step 2: Convert to fraction form
    782.47/1,079.21 = 533.36/x
  3. Step 3: Cross multiply
    782.47x = 1,079.21 × 533.36
  4. Step 4: Simplify right side
    782.47x = 575,605.41
  5. Step 5: Solve for x
    x = 575,605.41/782.47
  6. Step 6: Final answer
    x = 735.62

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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.