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Finding the Fourth Proportional to 1,413.92, 1,951.20 and 792.96

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Solution

The fourth proportional to 1,413.92, 1,951.20 and 792.96 is: 1,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.92 : 1,951.20 = 792.96 : x
  2. Step 2: Convert to fraction form
    1,413.92/1,951.20 = 792.96/x
  3. Step 3: Cross multiply
    1,413.92x = 1,951.20 × 792.96
  4. Step 4: Simplify right side
    1,413.92x = 1,547,223.55
  5. Step 5: Solve for x
    x = 1,547,223.55/1,413.92
  6. Step 6: Final answer
    x = 1,094.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.