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Finding the Fourth Proportional to 759.40, 1,047.93 and 464.69

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Solution

The fourth proportional to 759.40, 1,047.93 and 464.69 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.40 : 1,047.93 = 464.69 : x
  2. Step 2: Convert to fraction form
    759.40/1,047.93 = 464.69/x
  3. Step 3: Cross multiply
    759.40x = 1,047.93 × 464.69
  4. Step 4: Simplify right side
    759.40x = 486,962.59
  5. Step 5: Solve for x
    x = 486,962.59/759.40
  6. Step 6: Final answer
    x = 641.25

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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.