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Finding the Fourth Proportional to 462.42, 690.35 and 445.14

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Solution

The fourth proportional to 462.42, 690.35 and 445.14 is: 664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 690.35 = 445.14 : x
  2. Step 2: Convert to fraction form
    462.42/690.35 = 445.14/x
  3. Step 3: Cross multiply
    462.42x = 690.35 × 445.14
  4. Step 4: Simplify right side
    462.42x = 307,300.17
  5. Step 5: Solve for x
    x = 307,300.17/462.42
  6. Step 6: Final answer
    x = 664.55

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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.