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Finding the Fourth Proportional to 434.07, 646.74 and 406.13

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Solution

The fourth proportional to 434.07, 646.74 and 406.13 is: 605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.07 : 646.74 = 406.13 : x
  2. Step 2: Convert to fraction form
    434.07/646.74 = 406.13/x
  3. Step 3: Cross multiply
    434.07x = 646.74 × 406.13
  4. Step 4: Simplify right side
    434.07x = 262,657.28
  5. Step 5: Solve for x
    x = 262,657.28/434.07
  6. Step 6: Final answer
    x = 605.10

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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.