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Finding the Fourth Proportional to 946.06, 1,305.64 and 547.82

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Solution

The fourth proportional to 946.06, 1,305.64 and 547.82 is: 756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.06 : 1,305.64 = 547.82 : x
  2. Step 2: Convert to fraction form
    946.06/1,305.64 = 547.82/x
  3. Step 3: Cross multiply
    946.06x = 1,305.64 × 547.82
  4. Step 4: Simplify right side
    946.06x = 715,255.70
  5. Step 5: Solve for x
    x = 715,255.70/946.06
  6. Step 6: Final answer
    x = 756.04

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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.