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Finding the Fourth Proportional to 697.74, 963.26 and 477.01

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Solution

The fourth proportional to 697.74, 963.26 and 477.01 is: 658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.74 : 963.26 = 477.01 : x
  2. Step 2: Convert to fraction form
    697.74/963.26 = 477.01/x
  3. Step 3: Cross multiply
    697.74x = 963.26 × 477.01
  4. Step 4: Simplify right side
    697.74x = 459,484.65
  5. Step 5: Solve for x
    x = 459,484.65/697.74
  6. Step 6: Final answer
    x = 658.53

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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.