Home / 1,545.21-2,315.16-764.15

Finding the Fourth Proportional to 1,545.21, 2,315.16 and 764.15

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Solution

The fourth proportional to 1,545.21, 2,315.16 and 764.15 is: 1,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.21 : 2,315.16 = 764.15 : x
  2. Step 2: Convert to fraction form
    1,545.21/2,315.16 = 764.15/x
  3. Step 3: Cross multiply
    1,545.21x = 2,315.16 × 764.15
  4. Step 4: Simplify right side
    1,545.21x = 1,769,117.94
  5. Step 5: Solve for x
    x = 1,769,117.94/1,545.21
  6. Step 6: Final answer
    x = 1,144.90

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1.5x scale

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.