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Finding the Fourth Proportional to 930.66, 1,284.71 and 616.07

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Solution

The fourth proportional to 930.66, 1,284.71 and 616.07 is: 850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.66 : 1,284.71 = 616.07 : x
  2. Step 2: Convert to fraction form
    930.66/1,284.71 = 616.07/x
  3. Step 3: Cross multiply
    930.66x = 1,284.71 × 616.07
  4. Step 4: Simplify right side
    930.66x = 791,461.79
  5. Step 5: Solve for x
    x = 791,461.79/930.66
  6. Step 6: Final answer
    x = 850.43

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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.