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Finding the Fourth Proportional to 708.75, 977.45 and 459.83

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Solution

The fourth proportional to 708.75, 977.45 and 459.83 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 977.45 = 459.83 : x
  2. Step 2: Convert to fraction form
    708.75/977.45 = 459.83/x
  3. Step 3: Cross multiply
    708.75x = 977.45 × 459.83
  4. Step 4: Simplify right side
    708.75x = 449,460.98
  5. Step 5: Solve for x
    x = 449,460.98/708.75
  6. Step 6: Final answer
    x = 634.16

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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.