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Finding the Fourth Proportional to 930.42, 1,283.04 and 580.50

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Solution

The fourth proportional to 930.42, 1,283.04 and 580.50 is: 800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.42 : 1,283.04 = 580.50 : x
  2. Step 2: Convert to fraction form
    930.42/1,283.04 = 580.50/x
  3. Step 3: Cross multiply
    930.42x = 1,283.04 × 580.50
  4. Step 4: Simplify right side
    930.42x = 744,804.72
  5. Step 5: Solve for x
    x = 744,804.72/930.42
  6. Step 6: Final answer
    x = 800.50

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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.