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Finding the Fourth Proportional to 1,039.86, 1,559.76 and 601.77

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Solution

The fourth proportional to 1,039.86, 1,559.76 and 601.77 is: 902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.86 : 1,559.76 = 601.77 : x
  2. Step 2: Convert to fraction form
    1,039.86/1,559.76 = 601.77/x
  3. Step 3: Cross multiply
    1,039.86x = 1,559.76 × 601.77
  4. Step 4: Simplify right side
    1,039.86x = 938,616.78
  5. Step 5: Solve for x
    x = 938,616.78/1,039.86
  6. Step 6: Final answer
    x = 902.64

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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.