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Finding the Fourth Proportional to 946.65, 1,419.63 and 580.33

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Solution

The fourth proportional to 946.65, 1,419.63 and 580.33 is: 870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.65 : 1,419.63 = 580.33 : x
  2. Step 2: Convert to fraction form
    946.65/1,419.63 = 580.33/x
  3. Step 3: Cross multiply
    946.65x = 1,419.63 × 580.33
  4. Step 4: Simplify right side
    946.65x = 823,853.88
  5. Step 5: Solve for x
    x = 823,853.88/946.65
  6. Step 6: Final answer
    x = 870.28

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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.