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Finding the Fourth Proportional to 462.90, 690.97 and 404.51

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Solution

The fourth proportional to 462.90, 690.97 and 404.51 is: 603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 690.97 = 404.51 : x
  2. Step 2: Convert to fraction form
    462.90/690.97 = 404.51/x
  3. Step 3: Cross multiply
    462.90x = 690.97 × 404.51
  4. Step 4: Simplify right side
    462.90x = 279,502.40
  5. Step 5: Solve for x
    x = 279,502.40/462.90
  6. Step 6: Final answer
    x = 603.81

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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.