Home / 1,283.20-1,924.80-417.60

Finding the Fourth Proportional to 1,283.20, 1,924.80 and 417.60

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Solution

The fourth proportional to 1,283.20, 1,924.80 and 417.60 is: 626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.20 : 1,924.80 = 417.60 : x
  2. Step 2: Convert to fraction form
    1,283.20/1,924.80 = 417.60/x
  3. Step 3: Cross multiply
    1,283.20x = 1,924.80 × 417.60
  4. Step 4: Simplify right side
    1,283.20x = 803,796.48
  5. Step 5: Solve for x
    x = 803,796.48/1,283.20
  6. Step 6: Final answer
    x = 626.40

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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.