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Finding the Fourth Proportional to 707.44, 969.94 and 695.20

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Solution

The fourth proportional to 707.44, 969.94 and 695.20 is: 953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.44 : 969.94 = 695.20 : x
  2. Step 2: Convert to fraction form
    707.44/969.94 = 695.20/x
  3. Step 3: Cross multiply
    707.44x = 969.94 × 695.20
  4. Step 4: Simplify right side
    707.44x = 674,302.29
  5. Step 5: Solve for x
    x = 674,302.29/707.44
  6. Step 6: Final answer
    x = 953.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.