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Finding the Fourth Proportional to 700.07, 964.89 and 478.62

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Solution

The fourth proportional to 700.07, 964.89 and 478.62 is: 659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.07 : 964.89 = 478.62 : x
  2. Step 2: Convert to fraction form
    700.07/964.89 = 478.62/x
  3. Step 3: Cross multiply
    700.07x = 964.89 × 478.62
  4. Step 4: Simplify right side
    700.07x = 461,815.65
  5. Step 5: Solve for x
    x = 461,815.65/700.07
  6. Step 6: Final answer
    x = 659.68

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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.