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Finding the Fourth Proportional to 700.59, 964.71 and 479.16

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Solution

The fourth proportional to 700.59, 964.71 and 479.16 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.59 : 964.71 = 479.16 : x
  2. Step 2: Convert to fraction form
    700.59/964.71 = 479.16/x
  3. Step 3: Cross multiply
    700.59x = 964.71 × 479.16
  4. Step 4: Simplify right side
    700.59x = 462,250.44
  5. Step 5: Solve for x
    x = 462,250.44/700.59
  6. Step 6: Final answer
    x = 659.80

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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.