Home / 1,119.12-1,545.58-766.67

Finding the Fourth Proportional to 1,119.12, 1,545.58 and 766.67

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Solution

The fourth proportional to 1,119.12, 1,545.58 and 766.67 is: 1,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.12 : 1,545.58 = 766.67 : x
  2. Step 2: Convert to fraction form
    1,119.12/1,545.58 = 766.67/x
  3. Step 3: Cross multiply
    1,119.12x = 1,545.58 × 766.67
  4. Step 4: Simplify right side
    1,119.12x = 1,184,943.05
  5. Step 5: Solve for x
    x = 1,184,943.05/1,119.12
  6. Step 6: Final answer
    x = 1,058.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.