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Finding the Fourth Proportional to 775.37, 1,070.12 and 709.76

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Solution

The fourth proportional to 775.37, 1,070.12 and 709.76 is: 979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.37 : 1,070.12 = 709.76 : x
  2. Step 2: Convert to fraction form
    775.37/1,070.12 = 709.76/x
  3. Step 3: Cross multiply
    775.37x = 1,070.12 × 709.76
  4. Step 4: Simplify right side
    775.37x = 759,532.82
  5. Step 5: Solve for x
    x = 759,532.82/775.37
  6. Step 6: Final answer
    x = 979.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.