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Finding the Fourth Proportional to 708.36, 977.60 and 428.66

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Solution

The fourth proportional to 708.36, 977.60 and 428.66 is: 591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.36 : 977.60 = 428.66 : x
  2. Step 2: Convert to fraction form
    708.36/977.60 = 428.66/x
  3. Step 3: Cross multiply
    708.36x = 977.60 × 428.66
  4. Step 4: Simplify right side
    708.36x = 419,054.50
  5. Step 5: Solve for x
    x = 419,054.50/708.36
  6. Step 6: Final answer
    x = 591.59

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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.