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Finding the Fourth Proportional to 931.75, 1,398.57 and 521.22

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Solution

The fourth proportional to 931.75, 1,398.57 and 521.22 is: 782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.75 : 1,398.57 = 521.22 : x
  2. Step 2: Convert to fraction form
    931.75/1,398.57 = 521.22/x
  3. Step 3: Cross multiply
    931.75x = 1,398.57 × 521.22
  4. Step 4: Simplify right side
    931.75x = 728,962.66
  5. Step 5: Solve for x
    x = 728,962.66/931.75
  6. Step 6: Final answer
    x = 782.36

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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.