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Finding the Fourth Proportional to 450.95, 671.79 and 434.41

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Solution

The fourth proportional to 450.95, 671.79 and 434.41 is: 647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.95 : 671.79 = 434.41 : x
  2. Step 2: Convert to fraction form
    450.95/671.79 = 434.41/x
  3. Step 3: Cross multiply
    450.95x = 671.79 × 434.41
  4. Step 4: Simplify right side
    450.95x = 291,833.13
  5. Step 5: Solve for x
    x = 291,833.13/450.95
  6. Step 6: Final answer
    x = 647.16

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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.