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Finding the Fourth Proportional to 942.86, 1,407.75 and 884.54

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Solution

The fourth proportional to 942.86, 1,407.75 and 884.54 is: 1,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.86 : 1,407.75 = 884.54 : x
  2. Step 2: Convert to fraction form
    942.86/1,407.75 = 884.54/x
  3. Step 3: Cross multiply
    942.86x = 1,407.75 × 884.54
  4. Step 4: Simplify right side
    942.86x = 1,245,206.76
  5. Step 5: Solve for x
    x = 1,245,206.76/942.86
  6. Step 6: Final answer
    x = 1,320.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.