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Finding the Fourth Proportional to 970.64, 1,340.36 and 934.96

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Solution

The fourth proportional to 970.64, 1,340.36 and 934.96 is: 1,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.64 : 1,340.36 = 934.96 : x
  2. Step 2: Convert to fraction form
    970.64/1,340.36 = 934.96/x
  3. Step 3: Cross multiply
    970.64x = 1,340.36 × 934.96
  4. Step 4: Simplify right side
    970.64x = 1,253,182.99
  5. Step 5: Solve for x
    x = 1,253,182.99/970.64
  6. Step 6: Final answer
    x = 1,291.09

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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.