Home / 1,064.12-1,596.25-284.11

Finding the Fourth Proportional to 1,064.12, 1,596.25 and 284.11

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Solution

The fourth proportional to 1,064.12, 1,596.25 and 284.11 is: 426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.12 : 1,596.25 = 284.11 : x
  2. Step 2: Convert to fraction form
    1,064.12/1,596.25 = 284.11/x
  3. Step 3: Cross multiply
    1,064.12x = 1,596.25 × 284.11
  4. Step 4: Simplify right side
    1,064.12x = 453,510.59
  5. Step 5: Solve for x
    x = 453,510.59/1,064.12
  6. Step 6: Final answer
    x = 426.18

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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.