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Finding the Fourth Proportional to 1,041, 1,561.50 and 463.86

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Solution

The fourth proportional to 1,041, 1,561.50 and 463.86 is: 695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041 : 1,561.50 = 463.86 : x
  2. Step 2: Convert to fraction form
    1,041/1,561.50 = 463.86/x
  3. Step 3: Cross multiply
    1,041x = 1,561.50 × 463.86
  4. Step 4: Simplify right side
    1,041x = 724,317.39
  5. Step 5: Solve for x
    x = 724,317.39/1,041
  6. Step 6: Final answer
    x = 695.79

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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.