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Finding the Fourth Proportional to 970.32, 1,447.83 and 911.54

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Solution

The fourth proportional to 970.32, 1,447.83 and 911.54 is: 1,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,447.83 = 911.54 : x
  2. Step 2: Convert to fraction form
    970.32/1,447.83 = 911.54/x
  3. Step 3: Cross multiply
    970.32x = 1,447.83 × 911.54
  4. Step 4: Simplify right side
    970.32x = 1,319,747.72
  5. Step 5: Solve for x
    x = 1,319,747.72/970.32
  6. Step 6: Final answer
    x = 1,360.12

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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.