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Finding the Fourth Proportional to 708.50, 977.67 and 428.56

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Solution

The fourth proportional to 708.50, 977.67 and 428.56 is: 591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.50 : 977.67 = 428.56 : x
  2. Step 2: Convert to fraction form
    708.50/977.67 = 428.56/x
  3. Step 3: Cross multiply
    708.50x = 977.67 × 428.56
  4. Step 4: Simplify right side
    708.50x = 418,987.81
  5. Step 5: Solve for x
    x = 418,987.81/708.50
  6. Step 6: Final answer
    x = 591.38

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1.5x scale

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.