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Finding the Fourth Proportional to 783.40, 1,175.10 and 564.70

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Solution

The fourth proportional to 783.40, 1,175.10 and 564.70 is: 847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.40 : 1,175.10 = 564.70 : x
  2. Step 2: Convert to fraction form
    783.40/1,175.10 = 564.70/x
  3. Step 3: Cross multiply
    783.40x = 1,175.10 × 564.70
  4. Step 4: Simplify right side
    783.40x = 663,578.97
  5. Step 5: Solve for x
    x = 663,578.97/783.40
  6. Step 6: Final answer
    x = 847.05

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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.