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Finding the Fourth Proportional to 474.28, 706.85 and 464.68

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Solution

The fourth proportional to 474.28, 706.85 and 464.68 is: 692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.28 : 706.85 = 464.68 : x
  2. Step 2: Convert to fraction form
    474.28/706.85 = 464.68/x
  3. Step 3: Cross multiply
    474.28x = 706.85 × 464.68
  4. Step 4: Simplify right side
    474.28x = 328,459.06
  5. Step 5: Solve for x
    x = 328,459.06/474.28
  6. Step 6: Final answer
    x = 692.54

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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.