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Finding the Fourth Proportional to 528.28, 788.36 and 464.30

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Solution

The fourth proportional to 528.28, 788.36 and 464.30 is: 692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.28 : 788.36 = 464.30 : x
  2. Step 2: Convert to fraction form
    528.28/788.36 = 464.30/x
  3. Step 3: Cross multiply
    528.28x = 788.36 × 464.30
  4. Step 4: Simplify right side
    528.28x = 366,035.55
  5. Step 5: Solve for x
    x = 366,035.55/528.28
  6. Step 6: Final answer
    x = 692.88

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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.