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Finding the Fourth Proportional to 708.06, 1,064.52 and 650.44

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Solution

The fourth proportional to 708.06, 1,064.52 and 650.44 is: 977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.06 : 1,064.52 = 650.44 : x
  2. Step 2: Convert to fraction form
    708.06/1,064.52 = 650.44/x
  3. Step 3: Cross multiply
    708.06x = 1,064.52 × 650.44
  4. Step 4: Simplify right side
    708.06x = 692,406.39
  5. Step 5: Solve for x
    x = 692,406.39/708.06
  6. Step 6: Final answer
    x = 977.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.