Home / 1,030.34-1,545.10-380.99

Finding the Fourth Proportional to 1,030.34, 1,545.10 and 380.99

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Solution

The fourth proportional to 1,030.34, 1,545.10 and 380.99 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.34 : 1,545.10 = 380.99 : x
  2. Step 2: Convert to fraction form
    1,030.34/1,545.10 = 380.99/x
  3. Step 3: Cross multiply
    1,030.34x = 1,545.10 × 380.99
  4. Step 4: Simplify right side
    1,030.34x = 588,667.65
  5. Step 5: Solve for x
    x = 588,667.65/1,030.34
  6. Step 6: Final answer
    x = 571.33

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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.