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Finding the Fourth Proportional to 734.91, 1,014.01 and 498.89

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Solution

The fourth proportional to 734.91, 1,014.01 and 498.89 is: 688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.91 : 1,014.01 = 498.89 : x
  2. Step 2: Convert to fraction form
    734.91/1,014.01 = 498.89/x
  3. Step 3: Cross multiply
    734.91x = 1,014.01 × 498.89
  4. Step 4: Simplify right side
    734.91x = 505,879.45
  5. Step 5: Solve for x
    x = 505,879.45/734.91
  6. Step 6: Final answer
    x = 688.36

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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.