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Finding the Fourth Proportional to 1,247.88, 1,870.68 and 784.25

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Solution

The fourth proportional to 1,247.88, 1,870.68 and 784.25 is: 1,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.88 : 1,870.68 = 784.25 : x
  2. Step 2: Convert to fraction form
    1,247.88/1,870.68 = 784.25/x
  3. Step 3: Cross multiply
    1,247.88x = 1,870.68 × 784.25
  4. Step 4: Simplify right side
    1,247.88x = 1,467,080.79
  5. Step 5: Solve for x
    x = 1,467,080.79/1,247.88
  6. Step 6: Final answer
    x = 1,175.66

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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.