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Finding the Fourth Proportional to 465.57, 697.36 and 354.65

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Solution

The fourth proportional to 465.57, 697.36 and 354.65 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 697.36 = 354.65 : x
  2. Step 2: Convert to fraction form
    465.57/697.36 = 354.65/x
  3. Step 3: Cross multiply
    465.57x = 697.36 × 354.65
  4. Step 4: Simplify right side
    465.57x = 247,316.95
  5. Step 5: Solve for x
    x = 247,316.95/465.57
  6. Step 6: Final answer
    x = 531.21

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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.