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Finding the Fourth Proportional to 461.07, 687.30 and 434.66

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Solution

The fourth proportional to 461.07, 687.30 and 434.66 is: 647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 687.30 = 434.66 : x
  2. Step 2: Convert to fraction form
    461.07/687.30 = 434.66/x
  3. Step 3: Cross multiply
    461.07x = 687.30 × 434.66
  4. Step 4: Simplify right side
    461.07x = 298,738.38
  5. Step 5: Solve for x
    x = 298,738.38/461.07
  6. Step 6: Final answer
    x = 647.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.