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Finding the Fourth Proportional to 672.16, 927.81 and 406.75

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Solution

The fourth proportional to 672.16, 927.81 and 406.75 is: 561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.16 : 927.81 = 406.75 : x
  2. Step 2: Convert to fraction form
    672.16/927.81 = 406.75/x
  3. Step 3: Cross multiply
    672.16x = 927.81 × 406.75
  4. Step 4: Simplify right side
    672.16x = 377,386.72
  5. Step 5: Solve for x
    x = 377,386.72/672.16
  6. Step 6: Final answer
    x = 561.45

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1.5x scale

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.