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Finding the Fourth Proportional to 674.94, 1,006.89 and 643.98

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Solution

The fourth proportional to 674.94, 1,006.89 and 643.98 is: 960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.94 : 1,006.89 = 643.98 : x
  2. Step 2: Convert to fraction form
    674.94/1,006.89 = 643.98/x
  3. Step 3: Cross multiply
    674.94x = 1,006.89 × 643.98
  4. Step 4: Simplify right side
    674.94x = 648,417.02
  5. Step 5: Solve for x
    x = 648,417.02/674.94
  6. Step 6: Final answer
    x = 960.70

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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.