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Finding the Fourth Proportional to 1,310.76, 1,964.93 and 444.47

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Solution

The fourth proportional to 1,310.76, 1,964.93 and 444.47 is: 666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.76 : 1,964.93 = 444.47 : x
  2. Step 2: Convert to fraction form
    1,310.76/1,964.93 = 444.47/x
  3. Step 3: Cross multiply
    1,310.76x = 1,964.93 × 444.47
  4. Step 4: Simplify right side
    1,310.76x = 873,340.39
  5. Step 5: Solve for x
    x = 873,340.39/1,310.76
  6. Step 6: Final answer
    x = 666.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.