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Finding the Fourth Proportional to 690.37, 952.71 and 406.72

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Solution

The fourth proportional to 690.37, 952.71 and 406.72 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.37 : 952.71 = 406.72 : x
  2. Step 2: Convert to fraction form
    690.37/952.71 = 406.72/x
  3. Step 3: Cross multiply
    690.37x = 952.71 × 406.72
  4. Step 4: Simplify right side
    690.37x = 387,488.16
  5. Step 5: Solve for x
    x = 387,488.16/690.37
  6. Step 6: Final answer
    x = 561.27

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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.