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Finding the Fourth Proportional to 696.95, 962.04 and 417.28

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Solution

The fourth proportional to 696.95, 962.04 and 417.28 is: 575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.95 : 962.04 = 417.28 : x
  2. Step 2: Convert to fraction form
    696.95/962.04 = 417.28/x
  3. Step 3: Cross multiply
    696.95x = 962.04 × 417.28
  4. Step 4: Simplify right side
    696.95x = 401,435.24
  5. Step 5: Solve for x
    x = 401,435.24/696.95
  6. Step 6: Final answer
    x = 575.99

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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.