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Finding the Fourth Proportional to 696.66, 960.45 and 578.21

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Solution

The fourth proportional to 696.66, 960.45 and 578.21 is: 797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.66 : 960.45 = 578.21 : x
  2. Step 2: Convert to fraction form
    696.66/960.45 = 578.21/x
  3. Step 3: Cross multiply
    696.66x = 960.45 × 578.21
  4. Step 4: Simplify right side
    696.66x = 555,336.99
  5. Step 5: Solve for x
    x = 555,336.99/696.66
  6. Step 6: Final answer
    x = 797.14

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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.