Home / 1,064.16-1,595.62-414.13

Finding the Fourth Proportional to 1,064.16, 1,595.62 and 414.13

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Solution

The fourth proportional to 1,064.16, 1,595.62 and 414.13 is: 620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.16 : 1,595.62 = 414.13 : x
  2. Step 2: Convert to fraction form
    1,064.16/1,595.62 = 414.13/x
  3. Step 3: Cross multiply
    1,064.16x = 1,595.62 × 414.13
  4. Step 4: Simplify right side
    1,064.16x = 660,794.11
  5. Step 5: Solve for x
    x = 660,794.11/1,064.16
  6. Step 6: Final answer
    x = 620.95

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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.