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Finding the Fourth Proportional to 1,306.85, 1,803.59 and 747.37

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Solution

The fourth proportional to 1,306.85, 1,803.59 and 747.37 is: 1,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.85 : 1,803.59 = 747.37 : x
  2. Step 2: Convert to fraction form
    1,306.85/1,803.59 = 747.37/x
  3. Step 3: Cross multiply
    1,306.85x = 1,803.59 × 747.37
  4. Step 4: Simplify right side
    1,306.85x = 1,347,945.51
  5. Step 5: Solve for x
    x = 1,347,945.51/1,306.85
  6. Step 6: Final answer
    x = 1,031.45

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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.