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Finding the Fourth Proportional to 782.40, 1,175.40 and 551.82

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Solution

The fourth proportional to 782.40, 1,175.40 and 551.82 is: 829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.40 : 1,175.40 = 551.82 : x
  2. Step 2: Convert to fraction form
    782.40/1,175.40 = 551.82/x
  3. Step 3: Cross multiply
    782.40x = 1,175.40 × 551.82
  4. Step 4: Simplify right side
    782.40x = 648,609.23
  5. Step 5: Solve for x
    x = 648,609.23/782.40
  6. Step 6: Final answer
    x = 829.00

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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.