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Finding the Fourth Proportional to 700.72, 967.07 and 406.01

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Solution

The fourth proportional to 700.72, 967.07 and 406.01 is: 560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.72 : 967.07 = 406.01 : x
  2. Step 2: Convert to fraction form
    700.72/967.07 = 406.01/x
  3. Step 3: Cross multiply
    700.72x = 967.07 × 406.01
  4. Step 4: Simplify right side
    700.72x = 392,643.52
  5. Step 5: Solve for x
    x = 392,643.52/700.72
  6. Step 6: Final answer
    x = 560.34

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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.