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Finding the Fourth Proportional to 678.78, 937.24 and 668.02

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Solution

The fourth proportional to 678.78, 937.24 and 668.02 is: 922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.78 : 937.24 = 668.02 : x
  2. Step 2: Convert to fraction form
    678.78/937.24 = 668.02/x
  3. Step 3: Cross multiply
    678.78x = 937.24 × 668.02
  4. Step 4: Simplify right side
    678.78x = 626,095.06
  5. Step 5: Solve for x
    x = 626,095.06/678.78
  6. Step 6: Final answer
    x = 922.38

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1.5x scale

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.