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Finding the Fourth Proportional to 678.48, 941.09 and 660.47

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Solution

The fourth proportional to 678.48, 941.09 and 660.47 is: 916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.48 : 941.09 = 660.47 : x
  2. Step 2: Convert to fraction form
    678.48/941.09 = 660.47/x
  3. Step 3: Cross multiply
    678.48x = 941.09 × 660.47
  4. Step 4: Simplify right side
    678.48x = 621,560.76
  5. Step 5: Solve for x
    x = 621,560.76/678.48
  6. Step 6: Final answer
    x = 916.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.