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Finding the Fourth Proportional to 1,503, 2,253.40 and 578.48

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Solution

The fourth proportional to 1,503, 2,253.40 and 578.48 is: 867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503 : 2,253.40 = 578.48 : x
  2. Step 2: Convert to fraction form
    1,503/2,253.40 = 578.48/x
  3. Step 3: Cross multiply
    1,503x = 2,253.40 × 578.48
  4. Step 4: Simplify right side
    1,503x = 1,303,546.83
  5. Step 5: Solve for x
    x = 1,303,546.83/1,503
  6. Step 6: Final answer
    x = 867.30

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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.