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Finding the Fourth Proportional to 1,348.26, 1,860.69 and 758.85

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Solution

The fourth proportional to 1,348.26, 1,860.69 and 758.85 is: 1,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.26 : 1,860.69 = 758.85 : x
  2. Step 2: Convert to fraction form
    1,348.26/1,860.69 = 758.85/x
  3. Step 3: Cross multiply
    1,348.26x = 1,860.69 × 758.85
  4. Step 4: Simplify right side
    1,348.26x = 1,411,984.61
  5. Step 5: Solve for x
    x = 1,411,984.61/1,348.26
  6. Step 6: Final answer
    x = 1,047.26

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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.