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Finding the Fourth Proportional to 759.42, 1,050.84 and 648.72

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Solution

The fourth proportional to 759.42, 1,050.84 and 648.72 is: 897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.42 : 1,050.84 = 648.72 : x
  2. Step 2: Convert to fraction form
    759.42/1,050.84 = 648.72/x
  3. Step 3: Cross multiply
    759.42x = 1,050.84 × 648.72
  4. Step 4: Simplify right side
    759.42x = 681,700.92
  5. Step 5: Solve for x
    x = 681,700.92/759.42
  6. Step 6: Final answer
    x = 897.66

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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.