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Finding the Fourth Proportional to 708.01, 977.64 and 459.76

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Solution

The fourth proportional to 708.01, 977.64 and 459.76 is: 634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.01 : 977.64 = 459.76 : x
  2. Step 2: Convert to fraction form
    708.01/977.64 = 459.76/x
  3. Step 3: Cross multiply
    708.01x = 977.64 × 459.76
  4. Step 4: Simplify right side
    708.01x = 449,477.32
  5. Step 5: Solve for x
    x = 449,477.32/708.01
  6. Step 6: Final answer
    x = 634.85

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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.