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Finding the Fourth Proportional to 678.14, 929.56 and 668.91

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Solution

The fourth proportional to 678.14, 929.56 and 668.91 is: 916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 929.56 = 668.91 : x
  2. Step 2: Convert to fraction form
    678.14/929.56 = 668.91/x
  3. Step 3: Cross multiply
    678.14x = 929.56 × 668.91
  4. Step 4: Simplify right side
    678.14x = 621,796.41
  5. Step 5: Solve for x
    x = 621,796.41/678.14
  6. Step 6: Final answer
    x = 916.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.