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Finding the Fourth Proportional to 931.41, 1,285.07 and 665.93

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Solution

The fourth proportional to 931.41, 1,285.07 and 665.93 is: 918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.41 : 1,285.07 = 665.93 : x
  2. Step 2: Convert to fraction form
    931.41/1,285.07 = 665.93/x
  3. Step 3: Cross multiply
    931.41x = 1,285.07 × 665.93
  4. Step 4: Simplify right side
    931.41x = 855,766.67
  5. Step 5: Solve for x
    x = 855,766.67/931.41
  6. Step 6: Final answer
    x = 918.79

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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.