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Finding the Fourth Proportional to 930.61, 1,283.53 and 681.84

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Solution

The fourth proportional to 930.61, 1,283.53 and 681.84 is: 940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.61 : 1,283.53 = 681.84 : x
  2. Step 2: Convert to fraction form
    930.61/1,283.53 = 681.84/x
  3. Step 3: Cross multiply
    930.61x = 1,283.53 × 681.84
  4. Step 4: Simplify right side
    930.61x = 875,162.10
  5. Step 5: Solve for x
    x = 875,162.10/930.61
  6. Step 6: Final answer
    x = 940.42

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1.5x scale

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.