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Finding the Fourth Proportional to 1,440.84, 1,989.16 and 969.50

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Solution

The fourth proportional to 1,440.84, 1,989.16 and 969.50 is: 1,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.84 : 1,989.16 = 969.50 : x
  2. Step 2: Convert to fraction form
    1,440.84/1,989.16 = 969.50/x
  3. Step 3: Cross multiply
    1,440.84x = 1,989.16 × 969.50
  4. Step 4: Simplify right side
    1,440.84x = 1,928,490.62
  5. Step 5: Solve for x
    x = 1,928,490.62/1,440.84
  6. Step 6: Final answer
    x = 1,338.45

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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.