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Finding the Fourth Proportional to 714.57, 1,071.60 and 303.73

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Solution

The fourth proportional to 714.57, 1,071.60 and 303.73 is: 455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.57 : 1,071.60 = 303.73 : x
  2. Step 2: Convert to fraction form
    714.57/1,071.60 = 303.73/x
  3. Step 3: Cross multiply
    714.57x = 1,071.60 × 303.73
  4. Step 4: Simplify right side
    714.57x = 325,477.07
  5. Step 5: Solve for x
    x = 325,477.07/714.57
  6. Step 6: Final answer
    x = 455.49

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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.