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Finding the Fourth Proportional to 463.29, 698.21 and 435.93

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Solution

The fourth proportional to 463.29, 698.21 and 435.93 is: 656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.29 : 698.21 = 435.93 : x
  2. Step 2: Convert to fraction form
    463.29/698.21 = 435.93/x
  3. Step 3: Cross multiply
    463.29x = 698.21 × 435.93
  4. Step 4: Simplify right side
    463.29x = 304,368.51
  5. Step 5: Solve for x
    x = 304,368.51/463.29
  6. Step 6: Final answer
    x = 656.97

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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.