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Finding the Fourth Proportional to 1,478.86, 2,041.61 and 955.19

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Solution

The fourth proportional to 1,478.86, 2,041.61 and 955.19 is: 1,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.86 : 2,041.61 = 955.19 : x
  2. Step 2: Convert to fraction form
    1,478.86/2,041.61 = 955.19/x
  3. Step 3: Cross multiply
    1,478.86x = 2,041.61 × 955.19
  4. Step 4: Simplify right side
    1,478.86x = 1,950,125.78
  5. Step 5: Solve for x
    x = 1,950,125.78/1,478.86
  6. Step 6: Final answer
    x = 1,318.67

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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.