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Finding the Fourth Proportional to 1,009.20, 1,502.63 and 949.08

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Solution

The fourth proportional to 1,009.20, 1,502.63 and 949.08 is: 1,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.20 : 1,502.63 = 949.08 : x
  2. Step 2: Convert to fraction form
    1,009.20/1,502.63 = 949.08/x
  3. Step 3: Cross multiply
    1,009.20x = 1,502.63 × 949.08
  4. Step 4: Simplify right side
    1,009.20x = 1,426,118.45
  5. Step 5: Solve for x
    x = 1,426,118.45/1,009.20
  6. Step 6: Final answer
    x = 1,413.12

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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.