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Finding the Fourth Proportional to 1,238.88, 1,858.30 and 808.76

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Solution

The fourth proportional to 1,238.88, 1,858.30 and 808.76 is: 1,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.88 : 1,858.30 = 808.76 : x
  2. Step 2: Convert to fraction form
    1,238.88/1,858.30 = 808.76/x
  3. Step 3: Cross multiply
    1,238.88x = 1,858.30 × 808.76
  4. Step 4: Simplify right side
    1,238.88x = 1,502,918.71
  5. Step 5: Solve for x
    x = 1,502,918.71/1,238.88
  6. Step 6: Final answer
    x = 1,213.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.