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Finding the Fourth Proportional to 734, 1,013.04 and 471.98

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Solution

The fourth proportional to 734, 1,013.04 and 471.98 is: 651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    734 : 1,013.04 = 471.98 : x
  2. Step 2: Convert to fraction form
    734/1,013.04 = 471.98/x
  3. Step 3: Cross multiply
    734x = 1,013.04 × 471.98
  4. Step 4: Simplify right side
    734x = 478,134.62
  5. Step 5: Solve for x
    x = 478,134.62/734
  6. Step 6: Final answer
    x = 651.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.