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Finding the Fourth Proportional to 708.69, 977.94 and 389.60

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Solution

The fourth proportional to 708.69, 977.94 and 389.60 is: 537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.69 : 977.94 = 389.60 : x
  2. Step 2: Convert to fraction form
    708.69/977.94 = 389.60/x
  3. Step 3: Cross multiply
    708.69x = 977.94 × 389.60
  4. Step 4: Simplify right side
    708.69x = 381,000.53
  5. Step 5: Solve for x
    x = 381,000.53/708.69
  6. Step 6: Final answer
    x = 537.61

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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.