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Finding the Fourth Proportional to 1,024.44, 1,413.72 and 625.98

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Solution

The fourth proportional to 1,024.44, 1,413.72 and 625.98 is: 863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.44 : 1,413.72 = 625.98 : x
  2. Step 2: Convert to fraction form
    1,024.44/1,413.72 = 625.98/x
  3. Step 3: Cross multiply
    1,024.44x = 1,413.72 × 625.98
  4. Step 4: Simplify right side
    1,024.44x = 884,960.45
  5. Step 5: Solve for x
    x = 884,960.45/1,024.44
  6. Step 6: Final answer
    x = 863.85

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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.