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Finding the Fourth Proportional to 1,021.59, 1,410.48 and 773.46

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Solution

The fourth proportional to 1,021.59, 1,410.48 and 773.46 is: 1,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.59 : 1,410.48 = 773.46 : x
  2. Step 2: Convert to fraction form
    1,021.59/1,410.48 = 773.46/x
  3. Step 3: Cross multiply
    1,021.59x = 1,410.48 × 773.46
  4. Step 4: Simplify right side
    1,021.59x = 1,090,949.86
  5. Step 5: Solve for x
    x = 1,090,949.86/1,021.59
  6. Step 6: Final answer
    x = 1,067.89

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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.