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Finding the Fourth Proportional to 598.53, 897.80 and 290.28

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Solution

The fourth proportional to 598.53, 897.80 and 290.28 is: 435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.53 : 897.80 = 290.28 : x
  2. Step 2: Convert to fraction form
    598.53/897.80 = 290.28/x
  3. Step 3: Cross multiply
    598.53x = 897.80 × 290.28
  4. Step 4: Simplify right side
    598.53x = 260,611.93
  5. Step 5: Solve for x
    x = 260,611.93/598.53
  6. Step 6: Final answer
    x = 435.42

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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.