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Finding the Fourth Proportional to 675.07, 1,011.12 and 519.86

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Solution

The fourth proportional to 675.07, 1,011.12 and 519.86 is: 778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.07 : 1,011.12 = 519.86 : x
  2. Step 2: Convert to fraction form
    675.07/1,011.12 = 519.86/x
  3. Step 3: Cross multiply
    675.07x = 1,011.12 × 519.86
  4. Step 4: Simplify right side
    675.07x = 525,640.84
  5. Step 5: Solve for x
    x = 525,640.84/675.07
  6. Step 6: Final answer
    x = 778.65

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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.