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Finding the Fourth Proportional to 1,364.26, 2,045.85 and 498.37

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Solution

The fourth proportional to 1,364.26, 2,045.85 and 498.37 is: 747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.26 : 2,045.85 = 498.37 : x
  2. Step 2: Convert to fraction form
    1,364.26/2,045.85 = 498.37/x
  3. Step 3: Cross multiply
    1,364.26x = 2,045.85 × 498.37
  4. Step 4: Simplify right side
    1,364.26x = 1,019,590.26
  5. Step 5: Solve for x
    x = 1,019,590.26/1,364.26
  6. Step 6: Final answer
    x = 747.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.