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Finding the Fourth Proportional to 598.00, 895.70 and 289.21

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Solution

The fourth proportional to 598.00, 895.70 and 289.21 is: 433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.00 : 895.70 = 289.21 : x
  2. Step 2: Convert to fraction form
    598.00/895.70 = 289.21/x
  3. Step 3: Cross multiply
    598.00x = 895.70 × 289.21
  4. Step 4: Simplify right side
    598.00x = 259,042.00
  5. Step 5: Solve for x
    x = 259,042.00/598.00
  6. Step 6: Final answer
    x = 433.18

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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.