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Finding the Fourth Proportional to 700.40, 965.89 and 460.71

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Solution

The fourth proportional to 700.40, 965.89 and 460.71 is: 635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.40 : 965.89 = 460.71 : x
  2. Step 2: Convert to fraction form
    700.40/965.89 = 460.71/x
  3. Step 3: Cross multiply
    700.40x = 965.89 × 460.71
  4. Step 4: Simplify right side
    700.40x = 444,995.18
  5. Step 5: Solve for x
    x = 444,995.18/700.40
  6. Step 6: Final answer
    x = 635.34

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1.5x scale

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.