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Finding the Fourth Proportional to 698.13, 964.67 and 501.30

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Solution

The fourth proportional to 698.13, 964.67 and 501.30 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.13 : 964.67 = 501.30 : x
  2. Step 2: Convert to fraction form
    698.13/964.67 = 501.30/x
  3. Step 3: Cross multiply
    698.13x = 964.67 × 501.30
  4. Step 4: Simplify right side
    698.13x = 483,586.56
  5. Step 5: Solve for x
    x = 483,586.56/698.13
  6. Step 6: Final answer
    x = 692.69

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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.