Home / 1,023.89-1,413.18-604.08

Finding the Fourth Proportional to 1,023.89, 1,413.18 and 604.08

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Solution

The fourth proportional to 1,023.89, 1,413.18 and 604.08 is: 833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.89 : 1,413.18 = 604.08 : x
  2. Step 2: Convert to fraction form
    1,023.89/1,413.18 = 604.08/x
  3. Step 3: Cross multiply
    1,023.89x = 1,413.18 × 604.08
  4. Step 4: Simplify right side
    1,023.89x = 853,673.77
  5. Step 5: Solve for x
    x = 853,673.77/1,023.89
  6. Step 6: Final answer
    x = 833.76

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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.