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Finding the Fourth Proportional to 714.61, 986.27 and 434.82

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Solution

The fourth proportional to 714.61, 986.27 and 434.82 is: 600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.61 : 986.27 = 434.82 : x
  2. Step 2: Convert to fraction form
    714.61/986.27 = 434.82/x
  3. Step 3: Cross multiply
    714.61x = 986.27 × 434.82
  4. Step 4: Simplify right side
    714.61x = 428,849.92
  5. Step 5: Solve for x
    x = 428,849.92/714.61
  6. Step 6: Final answer
    x = 600.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.