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Finding the Fourth Proportional to 946.89, 1,307.97 and 728.58

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Solution

The fourth proportional to 946.89, 1,307.97 and 728.58 is: 1,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.89 : 1,307.97 = 728.58 : x
  2. Step 2: Convert to fraction form
    946.89/1,307.97 = 728.58/x
  3. Step 3: Cross multiply
    946.89x = 1,307.97 × 728.58
  4. Step 4: Simplify right side
    946.89x = 952,960.78
  5. Step 5: Solve for x
    x = 952,960.78/946.89
  6. Step 6: Final answer
    x = 1,006.41

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1.5x scale

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.