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Finding the Fourth Proportional to 969.81, 1,453.98 and 476.07

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Solution

The fourth proportional to 969.81, 1,453.98 and 476.07 is: 713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.81 : 1,453.98 = 476.07 : x
  2. Step 2: Convert to fraction form
    969.81/1,453.98 = 476.07/x
  3. Step 3: Cross multiply
    969.81x = 1,453.98 × 476.07
  4. Step 4: Simplify right side
    969.81x = 692,196.26
  5. Step 5: Solve for x
    x = 692,196.26/969.81
  6. Step 6: Final answer
    x = 713.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.