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Finding the Fourth Proportional to 462.30, 690.56 and 460.14

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Solution

The fourth proportional to 462.30, 690.56 and 460.14 is: 687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.30 : 690.56 = 460.14 : x
  2. Step 2: Convert to fraction form
    462.30/690.56 = 460.14/x
  3. Step 3: Cross multiply
    462.30x = 690.56 × 460.14
  4. Step 4: Simplify right side
    462.30x = 317,751.98
  5. Step 5: Solve for x
    x = 317,751.98/462.30
  6. Step 6: Final answer
    x = 687.33

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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.