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Finding the Fourth Proportional to 674.63, 931.42 and 550.59

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Solution

The fourth proportional to 674.63, 931.42 and 550.59 is: 760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.63 : 931.42 = 550.59 : x
  2. Step 2: Convert to fraction form
    674.63/931.42 = 550.59/x
  3. Step 3: Cross multiply
    674.63x = 931.42 × 550.59
  4. Step 4: Simplify right side
    674.63x = 512,831.90
  5. Step 5: Solve for x
    x = 512,831.90/674.63
  6. Step 6: Final answer
    x = 760.16

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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.