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Finding the Fourth Proportional to 1,348.30, 1,860.51 and 758.80

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Solution

The fourth proportional to 1,348.30, 1,860.51 and 758.80 is: 1,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.30 : 1,860.51 = 758.80 : x
  2. Step 2: Convert to fraction form
    1,348.30/1,860.51 = 758.80/x
  3. Step 3: Cross multiply
    1,348.30x = 1,860.51 × 758.80
  4. Step 4: Simplify right side
    1,348.30x = 1,411,754.99
  5. Step 5: Solve for x
    x = 1,411,754.99/1,348.30
  6. Step 6: Final answer
    x = 1,047.06

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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.