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Finding the Fourth Proportional to 464.06, 692.16 and 391.42

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Solution

The fourth proportional to 464.06, 692.16 and 391.42 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 692.16 = 391.42 : x
  2. Step 2: Convert to fraction form
    464.06/692.16 = 391.42/x
  3. Step 3: Cross multiply
    464.06x = 692.16 × 391.42
  4. Step 4: Simplify right side
    464.06x = 270,925.27
  5. Step 5: Solve for x
    x = 270,925.27/464.06
  6. Step 6: Final answer
    x = 583.82

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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.