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Finding the Fourth Proportional to 1,149.21, 1,586.05 and 651.98

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Solution

The fourth proportional to 1,149.21, 1,586.05 and 651.98 is: 899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.21 : 1,586.05 = 651.98 : x
  2. Step 2: Convert to fraction form
    1,149.21/1,586.05 = 651.98/x
  3. Step 3: Cross multiply
    1,149.21x = 1,586.05 × 651.98
  4. Step 4: Simplify right side
    1,149.21x = 1,034,075.21
  5. Step 5: Solve for x
    x = 1,034,075.21/1,149.21
  6. Step 6: Final answer
    x = 899.81

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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.