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Finding the Fourth Proportional to 700.08, 964.98 and 615.84

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Solution

The fourth proportional to 700.08, 964.98 and 615.84 is: 848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.08 : 964.98 = 615.84 : x
  2. Step 2: Convert to fraction form
    700.08/964.98 = 615.84/x
  3. Step 3: Cross multiply
    700.08x = 964.98 × 615.84
  4. Step 4: Simplify right side
    700.08x = 594,273.28
  5. Step 5: Solve for x
    x = 594,273.28/700.08
  6. Step 6: Final answer
    x = 848.86

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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.