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Finding the Fourth Proportional to 696.96, 956.16 and 652.80

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Solution

The fourth proportional to 696.96, 956.16 and 652.80 is: 895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.96 : 956.16 = 652.80 : x
  2. Step 2: Convert to fraction form
    696.96/956.16 = 652.80/x
  3. Step 3: Cross multiply
    696.96x = 956.16 × 652.80
  4. Step 4: Simplify right side
    696.96x = 624,181.25
  5. Step 5: Solve for x
    x = 624,181.25/696.96
  6. Step 6: Final answer
    x = 895.58

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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.