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Finding the Fourth Proportional to 733.40, 1,012.32 and 603.80

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Solution

The fourth proportional to 733.40, 1,012.32 and 603.80 is: 833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.40 : 1,012.32 = 603.80 : x
  2. Step 2: Convert to fraction form
    733.40/1,012.32 = 603.80/x
  3. Step 3: Cross multiply
    733.40x = 1,012.32 × 603.80
  4. Step 4: Simplify right side
    733.40x = 611,238.82
  5. Step 5: Solve for x
    x = 611,238.82/733.40
  6. Step 6: Final answer
    x = 833.43

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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.