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Finding the Fourth Proportional to 464.62, 692.46 and 460.80

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Solution

The fourth proportional to 464.62, 692.46 and 460.80 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 692.46 = 460.80 : x
  2. Step 2: Convert to fraction form
    464.62/692.46 = 460.80/x
  3. Step 3: Cross multiply
    464.62x = 692.46 × 460.80
  4. Step 4: Simplify right side
    464.62x = 319,085.57
  5. Step 5: Solve for x
    x = 319,085.57/464.62
  6. Step 6: Final answer
    x = 686.77

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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.