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Finding the Fourth Proportional to 597.67, 897.59 and 521.17

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Solution

The fourth proportional to 597.67, 897.59 and 521.17 is: 782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.67 : 897.59 = 521.17 : x
  2. Step 2: Convert to fraction form
    597.67/897.59 = 521.17/x
  3. Step 3: Cross multiply
    597.67x = 897.59 × 521.17
  4. Step 4: Simplify right side
    597.67x = 467,796.98
  5. Step 5: Solve for x
    x = 467,796.98/597.67
  6. Step 6: Final answer
    x = 782.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.