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Finding the Fourth Proportional to 1,113.29, 1,669.42 and 593.16

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Solution

The fourth proportional to 1,113.29, 1,669.42 and 593.16 is: 889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.29 : 1,669.42 = 593.16 : x
  2. Step 2: Convert to fraction form
    1,113.29/1,669.42 = 593.16/x
  3. Step 3: Cross multiply
    1,113.29x = 1,669.42 × 593.16
  4. Step 4: Simplify right side
    1,113.29x = 990,233.17
  5. Step 5: Solve for x
    x = 990,233.17/1,113.29
  6. Step 6: Final answer
    x = 889.47

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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.