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Finding the Fourth Proportional to 1,254.47, 1,880.80 and 474.41

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Solution

The fourth proportional to 1,254.47, 1,880.80 and 474.41 is: 711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.47 : 1,880.80 = 474.41 : x
  2. Step 2: Convert to fraction form
    1,254.47/1,880.80 = 474.41/x
  3. Step 3: Cross multiply
    1,254.47x = 1,880.80 × 474.41
  4. Step 4: Simplify right side
    1,254.47x = 892,270.33
  5. Step 5: Solve for x
    x = 892,270.33/1,254.47
  6. Step 6: Final answer
    x = 711.27

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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.