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Finding the Fourth Proportional to 1,023.65, 1,413.11 and 603.86

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Solution

The fourth proportional to 1,023.65, 1,413.11 and 603.86 is: 833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.65 : 1,413.11 = 603.86 : x
  2. Step 2: Convert to fraction form
    1,023.65/1,413.11 = 603.86/x
  3. Step 3: Cross multiply
    1,023.65x = 1,413.11 × 603.86
  4. Step 4: Simplify right side
    1,023.65x = 853,320.60
  5. Step 5: Solve for x
    x = 853,320.60/1,023.65
  6. Step 6: Final answer
    x = 833.61

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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.