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Finding the Fourth Proportional to 946.26, 1,420.34 and 711.19

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Solution

The fourth proportional to 946.26, 1,420.34 and 711.19 is: 1,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.26 : 1,420.34 = 711.19 : x
  2. Step 2: Convert to fraction form
    946.26/1,420.34 = 711.19/x
  3. Step 3: Cross multiply
    946.26x = 1,420.34 × 711.19
  4. Step 4: Simplify right side
    946.26x = 1,010,129.82
  5. Step 5: Solve for x
    x = 1,010,129.82/946.26
  6. Step 6: Final answer
    x = 1,067.50

Related Problems

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.