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Finding the Fourth Proportional to 775.05, 1,164.20 and 653.55

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Solution

The fourth proportional to 775.05, 1,164.20 and 653.55 is: 981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.05 : 1,164.20 = 653.55 : x
  2. Step 2: Convert to fraction form
    775.05/1,164.20 = 653.55/x
  3. Step 3: Cross multiply
    775.05x = 1,164.20 × 653.55
  4. Step 4: Simplify right side
    775.05x = 760,859.64
  5. Step 5: Solve for x
    x = 760,859.64/775.05
  6. Step 6: Final answer
    x = 981.69

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1.5x scale

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.