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Finding the Fourth Proportional to 708.49, 977.77 and 428.74

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Solution

The fourth proportional to 708.49, 977.77 and 428.74 is: 591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.49 : 977.77 = 428.74 : x
  2. Step 2: Convert to fraction form
    708.49/977.77 = 428.74/x
  3. Step 3: Cross multiply
    708.49x = 977.77 × 428.74
  4. Step 4: Simplify right side
    708.49x = 419,207.20
  5. Step 5: Solve for x
    x = 419,207.20/708.49
  6. Step 6: Final answer
    x = 591.69

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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.