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Finding the Fourth Proportional to 698.42, 964.32 and 524.72

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Solution

The fourth proportional to 698.42, 964.32 and 524.72 is: 724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.42 : 964.32 = 524.72 : x
  2. Step 2: Convert to fraction form
    698.42/964.32 = 524.72/x
  3. Step 3: Cross multiply
    698.42x = 964.32 × 524.72
  4. Step 4: Simplify right side
    698.42x = 505,997.99
  5. Step 5: Solve for x
    x = 505,997.99/698.42
  6. Step 6: Final answer
    x = 724.49

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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.