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Finding the Fourth Proportional to 1,287.74, 1,776.38 and 790.20

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Solution

The fourth proportional to 1,287.74, 1,776.38 and 790.20 is: 1,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.74 : 1,776.38 = 790.20 : x
  2. Step 2: Convert to fraction form
    1,287.74/1,776.38 = 790.20/x
  3. Step 3: Cross multiply
    1,287.74x = 1,776.38 × 790.20
  4. Step 4: Simplify right side
    1,287.74x = 1,403,691.53
  5. Step 5: Solve for x
    x = 1,403,691.53/1,287.74
  6. Step 6: Final answer
    x = 1,090.04

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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.