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Finding the Fourth Proportional to 434.26, 648.52 and 410.57

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Solution

The fourth proportional to 434.26, 648.52 and 410.57 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 648.52 = 410.57 : x
  2. Step 2: Convert to fraction form
    434.26/648.52 = 410.57/x
  3. Step 3: Cross multiply
    434.26x = 648.52 × 410.57
  4. Step 4: Simplify right side
    434.26x = 266,263.33
  5. Step 5: Solve for x
    x = 266,263.33/434.26
  6. Step 6: Final answer
    x = 613.14

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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.