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Finding the Fourth Proportional to 434.14, 646.76 and 413.50

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Solution

The fourth proportional to 434.14, 646.76 and 413.50 is: 616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 646.76 = 413.50 : x
  2. Step 2: Convert to fraction form
    434.14/646.76 = 413.50/x
  3. Step 3: Cross multiply
    434.14x = 646.76 × 413.50
  4. Step 4: Simplify right side
    434.14x = 267,435.26
  5. Step 5: Solve for x
    x = 267,435.26/434.14
  6. Step 6: Final answer
    x = 616.01

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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.