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Finding the Fourth Proportional to 598.79, 898.16 and 208.64

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Solution

The fourth proportional to 598.79, 898.16 and 208.64 is: 312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.79 : 898.16 = 208.64 : x
  2. Step 2: Convert to fraction form
    598.79/898.16 = 208.64/x
  3. Step 3: Cross multiply
    598.79x = 898.16 × 208.64
  4. Step 4: Simplify right side
    598.79x = 187,393.30
  5. Step 5: Solve for x
    x = 187,393.30/598.79
  6. Step 6: Final answer
    x = 312.95

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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.