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Finding the Fourth Proportional to 461.79, 695.95 and 434.43

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Solution

The fourth proportional to 461.79, 695.95 and 434.43 is: 654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.79 : 695.95 = 434.43 : x
  2. Step 2: Convert to fraction form
    461.79/695.95 = 434.43/x
  3. Step 3: Cross multiply
    461.79x = 695.95 × 434.43
  4. Step 4: Simplify right side
    461.79x = 302,340.47
  5. Step 5: Solve for x
    x = 302,340.47/461.79
  6. Step 6: Final answer
    x = 654.71

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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.