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Finding the Fourth Proportional to 1,244.34, 1,868.31 and 784.08

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Solution

The fourth proportional to 1,244.34, 1,868.31 and 784.08 is: 1,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.34 : 1,868.31 = 784.08 : x
  2. Step 2: Convert to fraction form
    1,244.34/1,868.31 = 784.08/x
  3. Step 3: Cross multiply
    1,244.34x = 1,868.31 × 784.08
  4. Step 4: Simplify right side
    1,244.34x = 1,464,904.50
  5. Step 5: Solve for x
    x = 1,464,904.50/1,244.34
  6. Step 6: Final answer
    x = 1,177.25

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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.