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Finding the Fourth Proportional to 874.77, 1,201.80 and 708.47

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Solution

The fourth proportional to 874.77, 1,201.80 and 708.47 is: 973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.77 : 1,201.80 = 708.47 : x
  2. Step 2: Convert to fraction form
    874.77/1,201.80 = 708.47/x
  3. Step 3: Cross multiply
    874.77x = 1,201.80 × 708.47
  4. Step 4: Simplify right side
    874.77x = 851,433.24
  5. Step 5: Solve for x
    x = 851,433.24/874.77
  6. Step 6: Final answer
    x = 973.32

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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.