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Finding the Fourth Proportional to 698.58, 965.22 and 501.72

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Solution

The fourth proportional to 698.58, 965.22 and 501.72 is: 693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.58 : 965.22 = 501.72 : x
  2. Step 2: Convert to fraction form
    698.58/965.22 = 501.72/x
  3. Step 3: Cross multiply
    698.58x = 965.22 × 501.72
  4. Step 4: Simplify right side
    698.58x = 484,270.18
  5. Step 5: Solve for x
    x = 484,270.18/698.58
  6. Step 6: Final answer
    x = 693.22

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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.