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Finding the Fourth Proportional to 783.20, 1,175.16 and 454.40

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Solution

The fourth proportional to 783.20, 1,175.16 and 454.40 is: 681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.20 : 1,175.16 = 454.40 : x
  2. Step 2: Convert to fraction form
    783.20/1,175.16 = 454.40/x
  3. Step 3: Cross multiply
    783.20x = 1,175.16 × 454.40
  4. Step 4: Simplify right side
    783.20x = 533,992.70
  5. Step 5: Solve for x
    x = 533,992.70/783.20
  6. Step 6: Final answer
    x = 681.81

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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.