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Finding the Fourth Proportional to 697.58, 963.78 and 593.76

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Solution

The fourth proportional to 697.58, 963.78 and 593.76 is: 820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.58 : 963.78 = 593.76 : x
  2. Step 2: Convert to fraction form
    697.58/963.78 = 593.76/x
  3. Step 3: Cross multiply
    697.58x = 963.78 × 593.76
  4. Step 4: Simplify right side
    697.58x = 572,254.01
  5. Step 5: Solve for x
    x = 572,254.01/697.58
  6. Step 6: Final answer
    x = 820.35

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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.