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Finding the Fourth Proportional to 1,348.40, 1,860.90 and 758.90

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Solution

The fourth proportional to 1,348.40, 1,860.90 and 758.90 is: 1,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.40 : 1,860.90 = 758.90 : x
  2. Step 2: Convert to fraction form
    1,348.40/1,860.90 = 758.90/x
  3. Step 3: Cross multiply
    1,348.40x = 1,860.90 × 758.90
  4. Step 4: Simplify right side
    1,348.40x = 1,412,237.01
  5. Step 5: Solve for x
    x = 1,412,237.01/1,348.40
  6. Step 6: Final answer
    x = 1,047.34

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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.