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Finding the Fourth Proportional to 451.95, 674.40 and 434.16

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Solution

The fourth proportional to 451.95, 674.40 and 434.16 is: 647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.95 : 674.40 = 434.16 : x
  2. Step 2: Convert to fraction form
    451.95/674.40 = 434.16/x
  3. Step 3: Cross multiply
    451.95x = 674.40 × 434.16
  4. Step 4: Simplify right side
    451.95x = 292,797.50
  5. Step 5: Solve for x
    x = 292,797.50/451.95
  6. Step 6: Final answer
    x = 647.85

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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.