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Finding the Fourth Proportional to 970.91, 1,340.67 and 900.56

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Solution

The fourth proportional to 970.91, 1,340.67 and 900.56 is: 1,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.91 : 1,340.67 = 900.56 : x
  2. Step 2: Convert to fraction form
    970.91/1,340.67 = 900.56/x
  3. Step 3: Cross multiply
    970.91x = 1,340.67 × 900.56
  4. Step 4: Simplify right side
    970.91x = 1,207,353.78
  5. Step 5: Solve for x
    x = 1,207,353.78/970.91
  6. Step 6: Final answer
    x = 1,243.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.