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Finding the Fourth Proportional to 598.95, 897.84 and 290.34

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Solution

The fourth proportional to 598.95, 897.84 and 290.34 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.95 : 897.84 = 290.34 : x
  2. Step 2: Convert to fraction form
    598.95/897.84 = 290.34/x
  3. Step 3: Cross multiply
    598.95x = 897.84 × 290.34
  4. Step 4: Simplify right side
    598.95x = 260,678.87
  5. Step 5: Solve for x
    x = 260,678.87/598.95
  6. Step 6: Final answer
    x = 435.23

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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.