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Finding the Fourth Proportional to 970.54, 1,339.22 and 550.82

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Solution

The fourth proportional to 970.54, 1,339.22 and 550.82 is: 760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.54 : 1,339.22 = 550.82 : x
  2. Step 2: Convert to fraction form
    970.54/1,339.22 = 550.82/x
  3. Step 3: Cross multiply
    970.54x = 1,339.22 × 550.82
  4. Step 4: Simplify right side
    970.54x = 737,669.16
  5. Step 5: Solve for x
    x = 737,669.16/970.54
  6. Step 6: Final answer
    x = 760.06

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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.