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Finding the Fourth Proportional to 946.86, 1,306.32 and 573.57

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Solution

The fourth proportional to 946.86, 1,306.32 and 573.57 is: 791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.86 : 1,306.32 = 573.57 : x
  2. Step 2: Convert to fraction form
    946.86/1,306.32 = 573.57/x
  3. Step 3: Cross multiply
    946.86x = 1,306.32 × 573.57
  4. Step 4: Simplify right side
    946.86x = 749,265.96
  5. Step 5: Solve for x
    x = 749,265.96/946.86
  6. Step 6: Final answer
    x = 791.32

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Double scale
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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.