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Finding the Fourth Proportional to 464, 698.76 and 403.86

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Solution

The fourth proportional to 464, 698.76 and 403.86 is: 608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 698.76 = 403.86 : x
  2. Step 2: Convert to fraction form
    464/698.76 = 403.86/x
  3. Step 3: Cross multiply
    464x = 698.76 × 403.86
  4. Step 4: Simplify right side
    464x = 282,201.21
  5. Step 5: Solve for x
    x = 282,201.21/464
  6. Step 6: Final answer
    x = 608.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.