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Finding the Fourth Proportional to 767.75, 1,059.02 and 547.01

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Solution

The fourth proportional to 767.75, 1,059.02 and 547.01 is: 754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.75 : 1,059.02 = 547.01 : x
  2. Step 2: Convert to fraction form
    767.75/1,059.02 = 547.01/x
  3. Step 3: Cross multiply
    767.75x = 1,059.02 × 547.01
  4. Step 4: Simplify right side
    767.75x = 579,289.24
  5. Step 5: Solve for x
    x = 579,289.24/767.75
  6. Step 6: Final answer
    x = 754.53

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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.