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Finding the Fourth Proportional to 1,090.66, 1,505.10 and 593.29

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Solution

The fourth proportional to 1,090.66, 1,505.10 and 593.29 is: 818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.66 : 1,505.10 = 593.29 : x
  2. Step 2: Convert to fraction form
    1,090.66/1,505.10 = 593.29/x
  3. Step 3: Cross multiply
    1,090.66x = 1,505.10 × 593.29
  4. Step 4: Simplify right side
    1,090.66x = 892,960.78
  5. Step 5: Solve for x
    x = 892,960.78/1,090.66
  6. Step 6: Final answer
    x = 818.73

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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.