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Finding the Fourth Proportional to 947.18, 1,411.18 and 900.66

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Solution

The fourth proportional to 947.18, 1,411.18 and 900.66 is: 1,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.18 : 1,411.18 = 900.66 : x
  2. Step 2: Convert to fraction form
    947.18/1,411.18 = 900.66/x
  3. Step 3: Cross multiply
    947.18x = 1,411.18 × 900.66
  4. Step 4: Simplify right side
    947.18x = 1,270,993.38
  5. Step 5: Solve for x
    x = 1,270,993.38/947.18
  6. Step 6: Final answer
    x = 1,341.87

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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.