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Finding the Fourth Proportional to 783.40, 1,175.10 and 655.40

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Solution

The fourth proportional to 783.40, 1,175.10 and 655.40 is: 983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.40 : 1,175.10 = 655.40 : x
  2. Step 2: Convert to fraction form
    783.40/1,175.10 = 655.40/x
  3. Step 3: Cross multiply
    783.40x = 1,175.10 × 655.40
  4. Step 4: Simplify right side
    783.40x = 770,160.54
  5. Step 5: Solve for x
    x = 770,160.54/783.40
  6. Step 6: Final answer
    x = 983.10

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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.