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Finding the Fourth Proportional to 462.35, 689.81 and 404.51

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Solution

The fourth proportional to 462.35, 689.81 and 404.51 is: 603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.35 : 689.81 = 404.51 : x
  2. Step 2: Convert to fraction form
    462.35/689.81 = 404.51/x
  3. Step 3: Cross multiply
    462.35x = 689.81 × 404.51
  4. Step 4: Simplify right side
    462.35x = 279,029.57
  5. Step 5: Solve for x
    x = 279,029.57/462.35
  6. Step 6: Final answer
    x = 603.50

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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.