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Finding the Fourth Proportional to 1,413.46, 1,950.98 and 916.12

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Solution

The fourth proportional to 1,413.46, 1,950.98 and 916.12 is: 1,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.46 : 1,950.98 = 916.12 : x
  2. Step 2: Convert to fraction form
    1,413.46/1,950.98 = 916.12/x
  3. Step 3: Cross multiply
    1,413.46x = 1,950.98 × 916.12
  4. Step 4: Simplify right side
    1,413.46x = 1,787,331.80
  5. Step 5: Solve for x
    x = 1,787,331.80/1,413.46
  6. Step 6: Final answer
    x = 1,264.51

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Double scale
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1.5x scale

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.