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Finding the Fourth Proportional to 690.34, 1,035.31 and 365.53

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Solution

The fourth proportional to 690.34, 1,035.31 and 365.53 is: 548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.34 : 1,035.31 = 365.53 : x
  2. Step 2: Convert to fraction form
    690.34/1,035.31 = 365.53/x
  3. Step 3: Cross multiply
    690.34x = 1,035.31 × 365.53
  4. Step 4: Simplify right side
    690.34x = 378,435.04
  5. Step 5: Solve for x
    x = 378,435.04/690.34
  6. Step 6: Final answer
    x = 548.19

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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.