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Finding the Fourth Proportional to 434.04, 648.01 and 330.77

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Solution

The fourth proportional to 434.04, 648.01 and 330.77 is: 493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.04 : 648.01 = 330.77 : x
  2. Step 2: Convert to fraction form
    434.04/648.01 = 330.77/x
  3. Step 3: Cross multiply
    434.04x = 648.01 × 330.77
  4. Step 4: Simplify right side
    434.04x = 214,342.27
  5. Step 5: Solve for x
    x = 214,342.27/434.04
  6. Step 6: Final answer
    x = 493.83

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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.