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Finding the Fourth Proportional to 672.70, 1,011.45 and 567.10

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Solution

The fourth proportional to 672.70, 1,011.45 and 567.10 is: 852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.70 : 1,011.45 = 567.10 : x
  2. Step 2: Convert to fraction form
    672.70/1,011.45 = 567.10/x
  3. Step 3: Cross multiply
    672.70x = 1,011.45 × 567.10
  4. Step 4: Simplify right side
    672.70x = 573,593.30
  5. Step 5: Solve for x
    x = 573,593.30/672.70
  6. Step 6: Final answer
    x = 852.67

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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.