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Finding the Fourth Proportional to 700.74, 966.94 and 406.10

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Solution

The fourth proportional to 700.74, 966.94 and 406.10 is: 560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.74 : 966.94 = 406.10 : x
  2. Step 2: Convert to fraction form
    700.74/966.94 = 406.10/x
  3. Step 3: Cross multiply
    700.74x = 966.94 × 406.10
  4. Step 4: Simplify right side
    700.74x = 392,674.33
  5. Step 5: Solve for x
    x = 392,674.33/700.74
  6. Step 6: Final answer
    x = 560.37

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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.