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Finding the Fourth Proportional to 930.50, 1,284.40 and 557.60

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Solution

The fourth proportional to 930.50, 1,284.40 and 557.60 is: 769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.50 : 1,284.40 = 557.60 : x
  2. Step 2: Convert to fraction form
    930.50/1,284.40 = 557.60/x
  3. Step 3: Cross multiply
    930.50x = 1,284.40 × 557.60
  4. Step 4: Simplify right side
    930.50x = 716,181.44
  5. Step 5: Solve for x
    x = 716,181.44/930.50
  6. Step 6: Final answer
    x = 769.67

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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.