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Finding the Fourth Proportional to 598.51, 898.17 and 208.63

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Solution

The fourth proportional to 598.51, 898.17 and 208.63 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.51 : 898.17 = 208.63 : x
  2. Step 2: Convert to fraction form
    598.51/898.17 = 208.63/x
  3. Step 3: Cross multiply
    598.51x = 898.17 × 208.63
  4. Step 4: Simplify right side
    598.51x = 187,385.21
  5. Step 5: Solve for x
    x = 187,385.21/598.51
  6. Step 6: Final answer
    x = 313.09

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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.