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Finding the Fourth Proportional to 1,312.46, 1,976.46 and 949.79

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Solution

The fourth proportional to 1,312.46, 1,976.46 and 949.79 is: 1,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.46 : 1,976.46 = 949.79 : x
  2. Step 2: Convert to fraction form
    1,312.46/1,976.46 = 949.79/x
  3. Step 3: Cross multiply
    1,312.46x = 1,976.46 × 949.79
  4. Step 4: Simplify right side
    1,312.46x = 1,877,221.94
  5. Step 5: Solve for x
    x = 1,877,221.94/1,312.46
  6. Step 6: Final answer
    x = 1,430.31

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1.5x scale

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.