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Finding the Fourth Proportional to 612.16, 842.97 and 598.54

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Solution

The fourth proportional to 612.16, 842.97 and 598.54 is: 824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 842.97 = 598.54 : x
  2. Step 2: Convert to fraction form
    612.16/842.97 = 598.54/x
  3. Step 3: Cross multiply
    612.16x = 842.97 × 598.54
  4. Step 4: Simplify right side
    612.16x = 504,551.26
  5. Step 5: Solve for x
    x = 504,551.26/612.16
  6. Step 6: Final answer
    x = 824.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.