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Finding the Fourth Proportional to 969.68, 1,443.70 and 913.52

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Solution

The fourth proportional to 969.68, 1,443.70 and 913.52 is: 1,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.68 : 1,443.70 = 913.52 : x
  2. Step 2: Convert to fraction form
    969.68/1,443.70 = 913.52/x
  3. Step 3: Cross multiply
    969.68x = 1,443.70 × 913.52
  4. Step 4: Simplify right side
    969.68x = 1,318,848.82
  5. Step 5: Solve for x
    x = 1,318,848.82/969.68
  6. Step 6: Final answer
    x = 1,360.09

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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.