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Finding the Fourth Proportional to 1,305.65, 1,951.28 and 954.98

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Solution

The fourth proportional to 1,305.65, 1,951.28 and 954.98 is: 1,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.65 : 1,951.28 = 954.98 : x
  2. Step 2: Convert to fraction form
    1,305.65/1,951.28 = 954.98/x
  3. Step 3: Cross multiply
    1,305.65x = 1,951.28 × 954.98
  4. Step 4: Simplify right side
    1,305.65x = 1,863,433.48
  5. Step 5: Solve for x
    x = 1,863,433.48/1,305.65
  6. Step 6: Final answer
    x = 1,427.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.