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Finding the Fourth Proportional to 468.90, 647.06 and 291.83

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Solution

The fourth proportional to 468.90, 647.06 and 291.83 is: 402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.90 : 647.06 = 291.83 : x
  2. Step 2: Convert to fraction form
    468.90/647.06 = 291.83/x
  3. Step 3: Cross multiply
    468.90x = 647.06 × 291.83
  4. Step 4: Simplify right side
    468.90x = 188,826.83
  5. Step 5: Solve for x
    x = 188,826.83/468.90
  6. Step 6: Final answer
    x = 402.70

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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.