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Finding the Fourth Proportional to 715.62, 1,072.12 and 567.60

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Solution

The fourth proportional to 715.62, 1,072.12 and 567.60 is: 850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.62 : 1,072.12 = 567.60 : x
  2. Step 2: Convert to fraction form
    715.62/1,072.12 = 567.60/x
  3. Step 3: Cross multiply
    715.62x = 1,072.12 × 567.60
  4. Step 4: Simplify right side
    715.62x = 608,535.31
  5. Step 5: Solve for x
    x = 608,535.31/715.62
  6. Step 6: Final answer
    x = 850.36

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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.