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Finding the Fourth Proportional to 697.56, 963.90 and 465

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Solution

The fourth proportional to 697.56, 963.90 and 465 is: 642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.56 : 963.90 = 465 : x
  2. Step 2: Convert to fraction form
    697.56/963.90 = 465/x
  3. Step 3: Cross multiply
    697.56x = 963.90 × 465
  4. Step 4: Simplify right side
    697.56x = 448,213.50
  5. Step 5: Solve for x
    x = 448,213.50/697.56
  6. Step 6: Final answer
    x = 642.54

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1.5x scale

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.