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Finding the Fourth Proportional to 1,593.78, 2,199.17 and 930.51

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Solution

The fourth proportional to 1,593.78, 2,199.17 and 930.51 is: 1,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.78 : 2,199.17 = 930.51 : x
  2. Step 2: Convert to fraction form
    1,593.78/2,199.17 = 930.51/x
  3. Step 3: Cross multiply
    1,593.78x = 2,199.17 × 930.51
  4. Step 4: Simplify right side
    1,593.78x = 2,046,345.02
  5. Step 5: Solve for x
    x = 2,046,345.02/1,593.78
  6. Step 6: Final answer
    x = 1,283.96

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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.