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Finding the Fourth Proportional to 1,156.64, 1,594.32 and 969.76

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Solution

The fourth proportional to 1,156.64, 1,594.32 and 969.76 is: 1,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.64 : 1,594.32 = 969.76 : x
  2. Step 2: Convert to fraction form
    1,156.64/1,594.32 = 969.76/x
  3. Step 3: Cross multiply
    1,156.64x = 1,594.32 × 969.76
  4. Step 4: Simplify right side
    1,156.64x = 1,546,107.76
  5. Step 5: Solve for x
    x = 1,546,107.76/1,156.64
  6. Step 6: Final answer
    x = 1,336.72

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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.