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Finding the Fourth Proportional to 699.86, 1,050.63 and 411.50

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Solution

The fourth proportional to 699.86, 1,050.63 and 411.50 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.86 : 1,050.63 = 411.50 : x
  2. Step 2: Convert to fraction form
    699.86/1,050.63 = 411.50/x
  3. Step 3: Cross multiply
    699.86x = 1,050.63 × 411.50
  4. Step 4: Simplify right side
    699.86x = 432,334.25
  5. Step 5: Solve for x
    x = 432,334.25/699.86
  6. Step 6: Final answer
    x = 617.74

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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.