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Finding the Fourth Proportional to 434.57, 648.05 and 400.91

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Solution

The fourth proportional to 434.57, 648.05 and 400.91 is: 597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 648.05 = 400.91 : x
  2. Step 2: Convert to fraction form
    434.57/648.05 = 400.91/x
  3. Step 3: Cross multiply
    434.57x = 648.05 × 400.91
  4. Step 4: Simplify right side
    434.57x = 259,804.48
  5. Step 5: Solve for x
    x = 259,804.48/434.57
  6. Step 6: Final answer
    x = 597.85

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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.