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Finding the Fourth Proportional to 2,984.57, 4,477.43 and 904.76

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Solution

The fourth proportional to 2,984.57, 4,477.43 and 904.76 is: 1,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.57 : 4,477.43 = 904.76 : x
  2. Step 2: Convert to fraction form
    2,984.57/4,477.43 = 904.76/x
  3. Step 3: Cross multiply
    2,984.57x = 4,477.43 × 904.76
  4. Step 4: Simplify right side
    2,984.57x = 4,050,984.85
  5. Step 5: Solve for x
    x = 4,050,984.85/2,984.57
  6. Step 6: Final answer
    x = 1,357.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.