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Finding the Fourth Proportional to 700.79, 967.18 and 465.00

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Solution

The fourth proportional to 700.79, 967.18 and 465.00 is: 641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.79 : 967.18 = 465.00 : x
  2. Step 2: Convert to fraction form
    700.79/967.18 = 465.00/x
  3. Step 3: Cross multiply
    700.79x = 967.18 × 465.00
  4. Step 4: Simplify right side
    700.79x = 449,740.93
  5. Step 5: Solve for x
    x = 449,740.93/700.79
  6. Step 6: Final answer
    x = 641.76

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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.