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Finding the Fourth Proportional to 775.48, 1,070.28 and 650.92

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Solution

The fourth proportional to 775.48, 1,070.28 and 650.92 is: 898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.48 : 1,070.28 = 650.92 : x
  2. Step 2: Convert to fraction form
    775.48/1,070.28 = 650.92/x
  3. Step 3: Cross multiply
    775.48x = 1,070.28 × 650.92
  4. Step 4: Simplify right side
    775.48x = 696,666.66
  5. Step 5: Solve for x
    x = 696,666.66/775.48
  6. Step 6: Final answer
    x = 898.37

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1.5x scale

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.