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Finding the Fourth Proportional to 833.61, 1,250.53 and 782.36

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Solution

The fourth proportional to 833.61, 1,250.53 and 782.36 is: 1,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.61 : 1,250.53 = 782.36 : x
  2. Step 2: Convert to fraction form
    833.61/1,250.53 = 782.36/x
  3. Step 3: Cross multiply
    833.61x = 1,250.53 × 782.36
  4. Step 4: Simplify right side
    833.61x = 978,358.40
  5. Step 5: Solve for x
    x = 978,358.40/833.61
  6. Step 6: Final answer
    x = 1,173.64

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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.