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Finding the Fourth Proportional to 468.74, 647.28 and 292.01

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Solution

The fourth proportional to 468.74, 647.28 and 292.01 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.74 : 647.28 = 292.01 : x
  2. Step 2: Convert to fraction form
    468.74/647.28 = 292.01/x
  3. Step 3: Cross multiply
    468.74x = 647.28 × 292.01
  4. Step 4: Simplify right side
    468.74x = 189,007.54
  5. Step 5: Solve for x
    x = 189,007.54/468.74
  6. Step 6: Final answer
    x = 403.22

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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.