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Finding the Fourth Proportional to 1,437.48, 1,984.21 and 847.98

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Solution

The fourth proportional to 1,437.48, 1,984.21 and 847.98 is: 1,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.48 : 1,984.21 = 847.98 : x
  2. Step 2: Convert to fraction form
    1,437.48/1,984.21 = 847.98/x
  3. Step 3: Cross multiply
    1,437.48x = 1,984.21 × 847.98
  4. Step 4: Simplify right side
    1,437.48x = 1,682,560.47
  5. Step 5: Solve for x
    x = 1,682,560.47/1,437.48
  6. Step 6: Final answer
    x = 1,170.50

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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.