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Finding the Fourth Proportional to 708.58, 974.06 and 633.10

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Solution

The fourth proportional to 708.58, 974.06 and 633.10 is: 870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.58 : 974.06 = 633.10 : x
  2. Step 2: Convert to fraction form
    708.58/974.06 = 633.10/x
  3. Step 3: Cross multiply
    708.58x = 974.06 × 633.10
  4. Step 4: Simplify right side
    708.58x = 616,671.79
  5. Step 5: Solve for x
    x = 616,671.79/708.58
  6. Step 6: Final answer
    x = 870.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.