Home / 1,283.12-1,924.54-417.36

Finding the Fourth Proportional to 1,283.12, 1,924.54 and 417.36

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Solution

The fourth proportional to 1,283.12, 1,924.54 and 417.36 is: 625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.12 : 1,924.54 = 417.36 : x
  2. Step 2: Convert to fraction form
    1,283.12/1,924.54 = 417.36/x
  3. Step 3: Cross multiply
    1,283.12x = 1,924.54 × 417.36
  4. Step 4: Simplify right side
    1,283.12x = 803,226.01
  5. Step 5: Solve for x
    x = 803,226.01/1,283.12
  6. Step 6: Final answer
    x = 625.99

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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.