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Finding the Fourth Proportional to 946.10, 1,417.39 and 513.62

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Solution

The fourth proportional to 946.10, 1,417.39 and 513.62 is: 769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.10 : 1,417.39 = 513.62 : x
  2. Step 2: Convert to fraction form
    946.10/1,417.39 = 513.62/x
  3. Step 3: Cross multiply
    946.10x = 1,417.39 × 513.62
  4. Step 4: Simplify right side
    946.10x = 727,999.85
  5. Step 5: Solve for x
    x = 727,999.85/946.10
  6. Step 6: Final answer
    x = 769.47

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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.