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Finding the Fourth Proportional to 646.58, 891.84 and 413.60

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Solution

The fourth proportional to 646.58, 891.84 and 413.60 is: 570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.58 : 891.84 = 413.60 : x
  2. Step 2: Convert to fraction form
    646.58/891.84 = 413.60/x
  3. Step 3: Cross multiply
    646.58x = 891.84 × 413.60
  4. Step 4: Simplify right side
    646.58x = 368,865.02
  5. Step 5: Solve for x
    x = 368,865.02/646.58
  6. Step 6: Final answer
    x = 570.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.