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Finding the Fourth Proportional to 931.24, 1,284.33 and 665.16

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Solution

The fourth proportional to 931.24, 1,284.33 and 665.16 is: 917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.24 : 1,284.33 = 665.16 : x
  2. Step 2: Convert to fraction form
    931.24/1,284.33 = 665.16/x
  3. Step 3: Cross multiply
    931.24x = 1,284.33 × 665.16
  4. Step 4: Simplify right side
    931.24x = 854,284.94
  5. Step 5: Solve for x
    x = 854,284.94/931.24
  6. Step 6: Final answer
    x = 917.36

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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.