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Finding the Fourth Proportional to 1,040.48, 1,559.70 and 578.48

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Solution

The fourth proportional to 1,040.48, 1,559.70 and 578.48 is: 867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.48 : 1,559.70 = 578.48 : x
  2. Step 2: Convert to fraction form
    1,040.48/1,559.70 = 578.48/x
  3. Step 3: Cross multiply
    1,040.48x = 1,559.70 × 578.48
  4. Step 4: Simplify right side
    1,040.48x = 902,255.26
  5. Step 5: Solve for x
    x = 902,255.26/1,040.48
  6. Step 6: Final answer
    x = 867.15

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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.