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Finding the Fourth Proportional to 946.02, 1,413.44 and 913.74

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Solution

The fourth proportional to 946.02, 1,413.44 and 913.74 is: 1,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.02 : 1,413.44 = 913.74 : x
  2. Step 2: Convert to fraction form
    946.02/1,413.44 = 913.74/x
  3. Step 3: Cross multiply
    946.02x = 1,413.44 × 913.74
  4. Step 4: Simplify right side
    946.02x = 1,291,516.67
  5. Step 5: Solve for x
    x = 1,291,516.67/946.02
  6. Step 6: Final answer
    x = 1,365.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.