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Finding the Fourth Proportional to 759.85, 1,049.08 and 465.28

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Solution

The fourth proportional to 759.85, 1,049.08 and 465.28 is: 642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.85 : 1,049.08 = 465.28 : x
  2. Step 2: Convert to fraction form
    759.85/1,049.08 = 465.28/x
  3. Step 3: Cross multiply
    759.85x = 1,049.08 × 465.28
  4. Step 4: Simplify right side
    759.85x = 488,109.53
  5. Step 5: Solve for x
    x = 488,109.53/759.85
  6. Step 6: Final answer
    x = 642.38

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1.5x scale

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.