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Finding the Fourth Proportional to 434.45, 648.29 and 424.02

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Solution

The fourth proportional to 434.45, 648.29 and 424.02 is: 632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.45 : 648.29 = 424.02 : x
  2. Step 2: Convert to fraction form
    434.45/648.29 = 424.02/x
  3. Step 3: Cross multiply
    434.45x = 648.29 × 424.02
  4. Step 4: Simplify right side
    434.45x = 274,887.40
  5. Step 5: Solve for x
    x = 274,887.40/434.45
  6. Step 6: Final answer
    x = 632.73

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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.