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Finding the Fourth Proportional to 678.90, 936.24 and 468.74

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Solution

The fourth proportional to 678.90, 936.24 and 468.74 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.90 : 936.24 = 468.74 : x
  2. Step 2: Convert to fraction form
    678.90/936.24 = 468.74/x
  3. Step 3: Cross multiply
    678.90x = 936.24 × 468.74
  4. Step 4: Simplify right side
    678.90x = 438,853.14
  5. Step 5: Solve for x
    x = 438,853.14/678.90
  6. Step 6: Final answer
    x = 646.42

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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.