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Finding the Fourth Proportional to 476.54, 714.81 and 147.47

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Solution

The fourth proportional to 476.54, 714.81 and 147.47 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.54 : 714.81 = 147.47 : x
  2. Step 2: Convert to fraction form
    476.54/714.81 = 147.47/x
  3. Step 3: Cross multiply
    476.54x = 714.81 × 147.47
  4. Step 4: Simplify right side
    476.54x = 105,413.03
  5. Step 5: Solve for x
    x = 105,413.03/476.54
  6. Step 6: Final answer
    x = 221.21

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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.