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Finding the Fourth Proportional to 434.90, 648.57 and 399.47

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Solution

The fourth proportional to 434.90, 648.57 and 399.47 is: 595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.90 : 648.57 = 399.47 : x
  2. Step 2: Convert to fraction form
    434.90/648.57 = 399.47/x
  3. Step 3: Cross multiply
    434.90x = 648.57 × 399.47
  4. Step 4: Simplify right side
    434.90x = 259,082.51
  5. Step 5: Solve for x
    x = 259,082.51/434.90
  6. Step 6: Final answer
    x = 595.73

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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.