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Finding the Fourth Proportional to 698.58, 965.16 and 594.76

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Solution

The fourth proportional to 698.58, 965.16 and 594.76 is: 821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.58 : 965.16 = 594.76 : x
  2. Step 2: Convert to fraction form
    698.58/965.16 = 594.76/x
  3. Step 3: Cross multiply
    698.58x = 965.16 × 594.76
  4. Step 4: Simplify right side
    698.58x = 574,038.56
  5. Step 5: Solve for x
    x = 574,038.56/698.58
  6. Step 6: Final answer
    x = 821.72

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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.