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Finding the Fourth Proportional to 928.52, 1,282.16 and 696.84

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Solution

The fourth proportional to 928.52, 1,282.16 and 696.84 is: 962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.52 : 1,282.16 = 696.84 : x
  2. Step 2: Convert to fraction form
    928.52/1,282.16 = 696.84/x
  3. Step 3: Cross multiply
    928.52x = 1,282.16 × 696.84
  4. Step 4: Simplify right side
    928.52x = 893,460.37
  5. Step 5: Solve for x
    x = 893,460.37/928.52
  6. Step 6: Final answer
    x = 962.24

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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.