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Finding the Fourth Proportional to 598.74, 897.56 and 324.51

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Solution

The fourth proportional to 598.74, 897.56 and 324.51 is: 486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 897.56 = 324.51 : x
  2. Step 2: Convert to fraction form
    598.74/897.56 = 324.51/x
  3. Step 3: Cross multiply
    598.74x = 897.56 × 324.51
  4. Step 4: Simplify right side
    598.74x = 291,265.25
  5. Step 5: Solve for x
    x = 291,265.25/598.74
  6. Step 6: Final answer
    x = 486.46

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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.