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Finding the Fourth Proportional to 1,039.49, 1,559.23 and 491.39

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Solution

The fourth proportional to 1,039.49, 1,559.23 and 491.39 is: 737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.49 : 1,559.23 = 491.39 : x
  2. Step 2: Convert to fraction form
    1,039.49/1,559.23 = 491.39/x
  3. Step 3: Cross multiply
    1,039.49x = 1,559.23 × 491.39
  4. Step 4: Simplify right side
    1,039.49x = 766,179.78
  5. Step 5: Solve for x
    x = 766,179.78/1,039.49
  6. Step 6: Final answer
    x = 737.08

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1.5x scale

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.