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Finding the Fourth Proportional to 1,287.93, 1,930.35 and 593.64

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Solution

The fourth proportional to 1,287.93, 1,930.35 and 593.64 is: 889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.93 : 1,930.35 = 593.64 : x
  2. Step 2: Convert to fraction form
    1,287.93/1,930.35 = 593.64/x
  3. Step 3: Cross multiply
    1,287.93x = 1,930.35 × 593.64
  4. Step 4: Simplify right side
    1,287.93x = 1,145,932.97
  5. Step 5: Solve for x
    x = 1,145,932.97/1,287.93
  6. Step 6: Final answer
    x = 889.75

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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.