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Finding the Fourth Proportional to 1,155.02, 1,593.90 and 682.91

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Solution

The fourth proportional to 1,155.02, 1,593.90 and 682.91 is: 942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.02 : 1,593.90 = 682.91 : x
  2. Step 2: Convert to fraction form
    1,155.02/1,593.90 = 682.91/x
  3. Step 3: Cross multiply
    1,155.02x = 1,593.90 × 682.91
  4. Step 4: Simplify right side
    1,155.02x = 1,088,490.25
  5. Step 5: Solve for x
    x = 1,088,490.25/1,155.02
  6. Step 6: Final answer
    x = 942.40

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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.