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Finding the Fourth Proportional to 434.34, 648.14 and 395.53

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Solution

The fourth proportional to 434.34, 648.14 and 395.53 is: 590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 648.14 = 395.53 : x
  2. Step 2: Convert to fraction form
    434.34/648.14 = 395.53/x
  3. Step 3: Cross multiply
    434.34x = 648.14 × 395.53
  4. Step 4: Simplify right side
    434.34x = 256,355.22
  5. Step 5: Solve for x
    x = 256,355.22/434.34
  6. Step 6: Final answer
    x = 590.22

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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.