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Finding the Fourth Proportional to 969.72, 1,334.93 and 720.24

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Solution

The fourth proportional to 969.72, 1,334.93 and 720.24 is: 991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.72 : 1,334.93 = 720.24 : x
  2. Step 2: Convert to fraction form
    969.72/1,334.93 = 720.24/x
  3. Step 3: Cross multiply
    969.72x = 1,334.93 × 720.24
  4. Step 4: Simplify right side
    969.72x = 961,466.38
  5. Step 5: Solve for x
    x = 961,466.38/969.72
  6. Step 6: Final answer
    x = 991.49

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1.5x scale

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.