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Finding the Fourth Proportional to 1,347.44, 2,020.37 and 524.75

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Solution

The fourth proportional to 1,347.44, 2,020.37 and 524.75 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.44 : 2,020.37 = 524.75 : x
  2. Step 2: Convert to fraction form
    1,347.44/2,020.37 = 524.75/x
  3. Step 3: Cross multiply
    1,347.44x = 2,020.37 × 524.75
  4. Step 4: Simplify right side
    1,347.44x = 1,060,189.16
  5. Step 5: Solve for x
    x = 1,060,189.16/1,347.44
  6. Step 6: Final answer
    x = 786.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.