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Finding the Fourth Proportional to 756.06, 1,043.07 and 559.98

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Solution

The fourth proportional to 756.06, 1,043.07 and 559.98 is: 772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.06 : 1,043.07 = 559.98 : x
  2. Step 2: Convert to fraction form
    756.06/1,043.07 = 559.98/x
  3. Step 3: Cross multiply
    756.06x = 1,043.07 × 559.98
  4. Step 4: Simplify right side
    756.06x = 584,098.34
  5. Step 5: Solve for x
    x = 584,098.34/756.06
  6. Step 6: Final answer
    x = 772.56

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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.