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Finding the Fourth Proportional to 434.58, 648.58 and 385.98

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Solution

The fourth proportional to 434.58, 648.58 and 385.98 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.58 : 648.58 = 385.98 : x
  2. Step 2: Convert to fraction form
    434.58/648.58 = 385.98/x
  3. Step 3: Cross multiply
    434.58x = 648.58 × 385.98
  4. Step 4: Simplify right side
    434.58x = 250,338.91
  5. Step 5: Solve for x
    x = 250,338.91/434.58
  6. Step 6: Final answer
    x = 576.05

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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.