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Finding the Fourth Proportional to 969.26, 1,337.54 and 708.38

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Solution

The fourth proportional to 969.26, 1,337.54 and 708.38 is: 977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.26 : 1,337.54 = 708.38 : x
  2. Step 2: Convert to fraction form
    969.26/1,337.54 = 708.38/x
  3. Step 3: Cross multiply
    969.26x = 1,337.54 × 708.38
  4. Step 4: Simplify right side
    969.26x = 947,486.59
  5. Step 5: Solve for x
    x = 947,486.59/969.26
  6. Step 6: Final answer
    x = 977.54

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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.