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Finding the Fourth Proportional to 465.28, 692.16 and 460.64

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Solution

The fourth proportional to 465.28, 692.16 and 460.64 is: 685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.28 : 692.16 = 460.64 : x
  2. Step 2: Convert to fraction form
    465.28/692.16 = 460.64/x
  3. Step 3: Cross multiply
    465.28x = 692.16 × 460.64
  4. Step 4: Simplify right side
    465.28x = 318,836.58
  5. Step 5: Solve for x
    x = 318,836.58/465.28
  6. Step 6: Final answer
    x = 685.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.