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Finding the Fourth Proportional to 697.65, 961.88 and 598.02

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Solution

The fourth proportional to 697.65, 961.88 and 598.02 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.65 : 961.88 = 598.02 : x
  2. Step 2: Convert to fraction form
    697.65/961.88 = 598.02/x
  3. Step 3: Cross multiply
    697.65x = 961.88 × 598.02
  4. Step 4: Simplify right side
    697.65x = 575,216.88
  5. Step 5: Solve for x
    x = 575,216.88/697.65
  6. Step 6: Final answer
    x = 824.51

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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.