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Finding the Fourth Proportional to 946.38, 1,306.32 and 587.74

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Solution

The fourth proportional to 946.38, 1,306.32 and 587.74 is: 811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.38 : 1,306.32 = 587.74 : x
  2. Step 2: Convert to fraction form
    946.38/1,306.32 = 587.74/x
  3. Step 3: Cross multiply
    946.38x = 1,306.32 × 587.74
  4. Step 4: Simplify right side
    946.38x = 767,776.52
  5. Step 5: Solve for x
    x = 767,776.52/946.38
  6. Step 6: Final answer
    x = 811.28

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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.