Home / 1,022.95-1,535.31-407.09

Finding the Fourth Proportional to 1,022.95, 1,535.31 and 407.09

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Solution

The fourth proportional to 1,022.95, 1,535.31 and 407.09 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.95 : 1,535.31 = 407.09 : x
  2. Step 2: Convert to fraction form
    1,022.95/1,535.31 = 407.09/x
  3. Step 3: Cross multiply
    1,022.95x = 1,535.31 × 407.09
  4. Step 4: Simplify right side
    1,022.95x = 625,009.35
  5. Step 5: Solve for x
    x = 625,009.35/1,022.95
  6. Step 6: Final answer
    x = 610.99

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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.