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Finding the Fourth Proportional to 678.43, 934.09 and 598.58

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Solution

The fourth proportional to 678.43, 934.09 and 598.58 is: 824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.43 : 934.09 = 598.58 : x
  2. Step 2: Convert to fraction form
    678.43/934.09 = 598.58/x
  3. Step 3: Cross multiply
    678.43x = 934.09 × 598.58
  4. Step 4: Simplify right side
    678.43x = 559,127.59
  5. Step 5: Solve for x
    x = 559,127.59/678.43
  6. Step 6: Final answer
    x = 824.15

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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.