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Finding the Fourth Proportional to 690.33, 1,035.60 and 480.15

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Solution

The fourth proportional to 690.33, 1,035.60 and 480.15 is: 720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 1,035.60 = 480.15 : x
  2. Step 2: Convert to fraction form
    690.33/1,035.60 = 480.15/x
  3. Step 3: Cross multiply
    690.33x = 1,035.60 × 480.15
  4. Step 4: Simplify right side
    690.33x = 497,243.34
  5. Step 5: Solve for x
    x = 497,243.34/690.33
  6. Step 6: Final answer
    x = 720.30

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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.