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Finding the Fourth Proportional to 708.32, 977.01 and 459.92

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Solution

The fourth proportional to 708.32, 977.01 and 459.92 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.32 : 977.01 = 459.92 : x
  2. Step 2: Convert to fraction form
    708.32/977.01 = 459.92/x
  3. Step 3: Cross multiply
    708.32x = 977.01 × 459.92
  4. Step 4: Simplify right side
    708.32x = 449,346.44
  5. Step 5: Solve for x
    x = 449,346.44/708.32
  6. Step 6: Final answer
    x = 634.38

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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.