Home / 1,041.59-1,558.70-982.38

Finding the Fourth Proportional to 1,041.59, 1,558.70 and 982.38

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Solution

The fourth proportional to 1,041.59, 1,558.70 and 982.38 is: 1,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.59 : 1,558.70 = 982.38 : x
  2. Step 2: Convert to fraction form
    1,041.59/1,558.70 = 982.38/x
  3. Step 3: Cross multiply
    1,041.59x = 1,558.70 × 982.38
  4. Step 4: Simplify right side
    1,041.59x = 1,531,238.16
  5. Step 5: Solve for x
    x = 1,531,238.16/1,041.59
  6. Step 6: Final answer
    x = 1,470.10

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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.