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Finding the Fourth Proportional to 675.94, 1,008.38 and 644.98

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Solution

The fourth proportional to 675.94, 1,008.38 and 644.98 is: 962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.94 : 1,008.38 = 644.98 : x
  2. Step 2: Convert to fraction form
    675.94/1,008.38 = 644.98/x
  3. Step 3: Cross multiply
    675.94x = 1,008.38 × 644.98
  4. Step 4: Simplify right side
    675.94x = 650,384.93
  5. Step 5: Solve for x
    x = 650,384.93/675.94
  6. Step 6: Final answer
    x = 962.19

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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.