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Finding the Fourth Proportional to 931.26, 1,395.27 and 497.64

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Solution

The fourth proportional to 931.26, 1,395.27 and 497.64 is: 745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.26 : 1,395.27 = 497.64 : x
  2. Step 2: Convert to fraction form
    931.26/1,395.27 = 497.64/x
  3. Step 3: Cross multiply
    931.26x = 1,395.27 × 497.64
  4. Step 4: Simplify right side
    931.26x = 694,342.16
  5. Step 5: Solve for x
    x = 694,342.16/931.26
  6. Step 6: Final answer
    x = 745.59

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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.