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Finding the Fourth Proportional to 468.74, 646.90 and 463.70

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Solution

The fourth proportional to 468.74, 646.90 and 463.70 is: 639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.74 : 646.90 = 463.70 : x
  2. Step 2: Convert to fraction form
    468.74/646.90 = 463.70/x
  3. Step 3: Cross multiply
    468.74x = 646.90 × 463.70
  4. Step 4: Simplify right side
    468.74x = 299,967.53
  5. Step 5: Solve for x
    x = 299,967.53/468.74
  6. Step 6: Final answer
    x = 639.94

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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.