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Finding the Fourth Proportional to 947.79, 1,413.54 and 930.51

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Solution

The fourth proportional to 947.79, 1,413.54 and 930.51 is: 1,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.79 : 1,413.54 = 930.51 : x
  2. Step 2: Convert to fraction form
    947.79/1,413.54 = 930.51/x
  3. Step 3: Cross multiply
    947.79x = 1,413.54 × 930.51
  4. Step 4: Simplify right side
    947.79x = 1,315,313.11
  5. Step 5: Solve for x
    x = 1,315,313.11/947.79
  6. Step 6: Final answer
    x = 1,387.77

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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.