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Finding the Fourth Proportional to 931.69, 1,284.42 and 637.66

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Solution

The fourth proportional to 931.69, 1,284.42 and 637.66 is: 879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.69 : 1,284.42 = 637.66 : x
  2. Step 2: Convert to fraction form
    931.69/1,284.42 = 637.66/x
  3. Step 3: Cross multiply
    931.69x = 1,284.42 × 637.66
  4. Step 4: Simplify right side
    931.69x = 819,023.26
  5. Step 5: Solve for x
    x = 819,023.26/931.69
  6. Step 6: Final answer
    x = 879.07

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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.