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Finding the Fourth Proportional to 708.77, 977.78 and 460.10

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Solution

The fourth proportional to 708.77, 977.78 and 460.10 is: 634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.77 : 977.78 = 460.10 : x
  2. Step 2: Convert to fraction form
    708.77/977.78 = 460.10/x
  3. Step 3: Cross multiply
    708.77x = 977.78 × 460.10
  4. Step 4: Simplify right side
    708.77x = 449,880.17
  5. Step 5: Solve for x
    x = 449,880.17/708.77
  6. Step 6: Final answer
    x = 634.73

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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.