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Finding the Fourth Proportional to 699.76, 1,048.20 and 410.50

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Solution

The fourth proportional to 699.76, 1,048.20 and 410.50 is: 614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 1,048.20 = 410.50 : x
  2. Step 2: Convert to fraction form
    699.76/1,048.20 = 410.50/x
  3. Step 3: Cross multiply
    699.76x = 1,048.20 × 410.50
  4. Step 4: Simplify right side
    699.76x = 430,286.10
  5. Step 5: Solve for x
    x = 430,286.10/699.76
  6. Step 6: Final answer
    x = 614.91

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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.