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Finding the Fourth Proportional to 1,310.46, 1,973.45 and 947.79

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Solution

The fourth proportional to 1,310.46, 1,973.45 and 947.79 is: 1,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.46 : 1,973.45 = 947.79 : x
  2. Step 2: Convert to fraction form
    1,310.46/1,973.45 = 947.79/x
  3. Step 3: Cross multiply
    1,310.46x = 1,973.45 × 947.79
  4. Step 4: Simplify right side
    1,310.46x = 1,870,411.44
  5. Step 5: Solve for x
    x = 1,870,411.44/1,310.46
  6. Step 6: Final answer
    x = 1,427.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.