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Finding the Fourth Proportional to 698.16, 964.74 and 501.36

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Solution

The fourth proportional to 698.16, 964.74 and 501.36 is: 692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.16 : 964.74 = 501.36 : x
  2. Step 2: Convert to fraction form
    698.16/964.74 = 501.36/x
  3. Step 3: Cross multiply
    698.16x = 964.74 × 501.36
  4. Step 4: Simplify right side
    698.16x = 483,682.05
  5. Step 5: Solve for x
    x = 483,682.05/698.16
  6. Step 6: Final answer
    x = 692.80

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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.