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Finding the Fourth Proportional to 714.51, 1,072.04 and 417.83

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Solution

The fourth proportional to 714.51, 1,072.04 and 417.83 is: 626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.51 : 1,072.04 = 417.83 : x
  2. Step 2: Convert to fraction form
    714.51/1,072.04 = 417.83/x
  3. Step 3: Cross multiply
    714.51x = 1,072.04 × 417.83
  4. Step 4: Simplify right side
    714.51x = 447,923.02
  5. Step 5: Solve for x
    x = 447,923.02/714.51
  6. Step 6: Final answer
    x = 626.90

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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.