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Finding the Fourth Proportional to 1,493.42, 2,239.36 and 670.98

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Solution

The fourth proportional to 1,493.42, 2,239.36 and 670.98 is: 1,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.42 : 2,239.36 = 670.98 : x
  2. Step 2: Convert to fraction form
    1,493.42/2,239.36 = 670.98/x
  3. Step 3: Cross multiply
    1,493.42x = 2,239.36 × 670.98
  4. Step 4: Simplify right side
    1,493.42x = 1,502,572.49
  5. Step 5: Solve for x
    x = 1,502,572.49/1,493.42
  6. Step 6: Final answer
    x = 1,006.13

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