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Finding the Fourth Proportional to 678.04, 937.18 and 598.76

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Solution

The fourth proportional to 678.04, 937.18 and 598.76 is: 827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.04 : 937.18 = 598.76 : x
  2. Step 2: Convert to fraction form
    678.04/937.18 = 598.76/x
  3. Step 3: Cross multiply
    678.04x = 937.18 × 598.76
  4. Step 4: Simplify right side
    678.04x = 561,145.90
  5. Step 5: Solve for x
    x = 561,145.90/678.04
  6. Step 6: Final answer
    x = 827.60

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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.