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Finding the Fourth Proportional to 969.74, 1,337.52 and 707.84

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Solution

The fourth proportional to 969.74, 1,337.52 and 707.84 is: 976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.74 : 1,337.52 = 707.84 : x
  2. Step 2: Convert to fraction form
    969.74/1,337.52 = 707.84/x
  3. Step 3: Cross multiply
    969.74x = 1,337.52 × 707.84
  4. Step 4: Simplify right side
    969.74x = 946,750.16
  5. Step 5: Solve for x
    x = 946,750.16/969.74
  6. Step 6: Final answer
    x = 976.29

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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.