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Finding the Fourth Proportional to 969.07, 1,337.91 and 720.10

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Solution

The fourth proportional to 969.07, 1,337.91 and 720.10 is: 994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.07 : 1,337.91 = 720.10 : x
  2. Step 2: Convert to fraction form
    969.07/1,337.91 = 720.10/x
  3. Step 3: Cross multiply
    969.07x = 1,337.91 × 720.10
  4. Step 4: Simplify right side
    969.07x = 963,428.99
  5. Step 5: Solve for x
    x = 963,428.99/969.07
  6. Step 6: Final answer
    x = 994.18

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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.