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Finding the Fourth Proportional to 1,030.46, 1,545.78 and 413.83

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Solution

The fourth proportional to 1,030.46, 1,545.78 and 413.83 is: 620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.46 : 1,545.78 = 413.83 : x
  2. Step 2: Convert to fraction form
    1,030.46/1,545.78 = 413.83/x
  3. Step 3: Cross multiply
    1,030.46x = 1,545.78 × 413.83
  4. Step 4: Simplify right side
    1,030.46x = 639,684.93
  5. Step 5: Solve for x
    x = 639,684.93/1,030.46
  6. Step 6: Final answer
    x = 620.77

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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.