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Finding the Fourth Proportional to 436.68, 656.10 and 413.46

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Solution

The fourth proportional to 436.68, 656.10 and 413.46 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.68 : 656.10 = 413.46 : x
  2. Step 2: Convert to fraction form
    436.68/656.10 = 413.46/x
  3. Step 3: Cross multiply
    436.68x = 656.10 × 413.46
  4. Step 4: Simplify right side
    436.68x = 271,271.11
  5. Step 5: Solve for x
    x = 271,271.11/436.68
  6. Step 6: Final answer
    x = 621.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.