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Finding the Fourth Proportional to 674.72, 1,007.12 and 626.52

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Solution

The fourth proportional to 674.72, 1,007.12 and 626.52 is: 935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.72 : 1,007.12 = 626.52 : x
  2. Step 2: Convert to fraction form
    674.72/1,007.12 = 626.52/x
  3. Step 3: Cross multiply
    674.72x = 1,007.12 × 626.52
  4. Step 4: Simplify right side
    674.72x = 630,980.82
  5. Step 5: Solve for x
    x = 630,980.82/674.72
  6. Step 6: Final answer
    x = 935.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.