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Finding the Fourth Proportional to 434.78, 648.54 and 393.26

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Solution

The fourth proportional to 434.78, 648.54 and 393.26 is: 586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.78 : 648.54 = 393.26 : x
  2. Step 2: Convert to fraction form
    434.78/648.54 = 393.26/x
  3. Step 3: Cross multiply
    434.78x = 648.54 × 393.26
  4. Step 4: Simplify right side
    434.78x = 255,041.60
  5. Step 5: Solve for x
    x = 255,041.60/434.78
  6. Step 6: Final answer
    x = 586.61

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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.