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Finding the Fourth Proportional to 946.07, 1,304.93 and 572.41

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Solution

The fourth proportional to 946.07, 1,304.93 and 572.41 is: 789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.07 : 1,304.93 = 572.41 : x
  2. Step 2: Convert to fraction form
    946.07/1,304.93 = 572.41/x
  3. Step 3: Cross multiply
    946.07x = 1,304.93 × 572.41
  4. Step 4: Simplify right side
    946.07x = 746,953.15
  5. Step 5: Solve for x
    x = 746,953.15/946.07
  6. Step 6: Final answer
    x = 789.53

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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.