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Finding the Fourth Proportional to 708.36, 977.67 and 446.19

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Solution

The fourth proportional to 708.36, 977.67 and 446.19 is: 615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.36 : 977.67 = 446.19 : x
  2. Step 2: Convert to fraction form
    708.36/977.67 = 446.19/x
  3. Step 3: Cross multiply
    708.36x = 977.67 × 446.19
  4. Step 4: Simplify right side
    708.36x = 436,226.58
  5. Step 5: Solve for x
    x = 436,226.58/708.36
  6. Step 6: Final answer
    x = 615.83

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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.