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Finding the Fourth Proportional to 434.98, 648.05 and 416.35

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Solution

The fourth proportional to 434.98, 648.05 and 416.35 is: 620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.98 : 648.05 = 416.35 : x
  2. Step 2: Convert to fraction form
    434.98/648.05 = 416.35/x
  3. Step 3: Cross multiply
    434.98x = 648.05 × 416.35
  4. Step 4: Simplify right side
    434.98x = 269,815.62
  5. Step 5: Solve for x
    x = 269,815.62/434.98
  6. Step 6: Final answer
    x = 620.29

Related Problems

Find fourth proportional to 217.49, 324.03 and 208.18
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1.5x scale

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.