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Finding the Fourth Proportional to 783.98, 1,175.34 and 454.13

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Solution

The fourth proportional to 783.98, 1,175.34 and 454.13 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.98 : 1,175.34 = 454.13 : x
  2. Step 2: Convert to fraction form
    783.98/1,175.34 = 454.13/x
  3. Step 3: Cross multiply
    783.98x = 1,175.34 × 454.13
  4. Step 4: Simplify right side
    783.98x = 533,757.15
  5. Step 5: Solve for x
    x = 533,757.15/783.98
  6. Step 6: Final answer
    x = 680.83

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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.