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Finding the Fourth Proportional to 946.06, 1,420.91 and 672.68

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Solution

The fourth proportional to 946.06, 1,420.91 and 672.68 is: 1,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.06 : 1,420.91 = 672.68 : x
  2. Step 2: Convert to fraction form
    946.06/1,420.91 = 672.68/x
  3. Step 3: Cross multiply
    946.06x = 1,420.91 × 672.68
  4. Step 4: Simplify right side
    946.06x = 955,817.74
  5. Step 5: Solve for x
    x = 955,817.74/946.06
  6. Step 6: Final answer
    x = 1,010.31

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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.