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Finding the Fourth Proportional to 1,003.99, 1,506.89 and 840.48

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Solution

The fourth proportional to 1,003.99, 1,506.89 and 840.48 is: 1,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.99 : 1,506.89 = 840.48 : x
  2. Step 2: Convert to fraction form
    1,003.99/1,506.89 = 840.48/x
  3. Step 3: Cross multiply
    1,003.99x = 1,506.89 × 840.48
  4. Step 4: Simplify right side
    1,003.99x = 1,266,510.47
  5. Step 5: Solve for x
    x = 1,266,510.47/1,003.99
  6. Step 6: Final answer
    x = 1,261.48

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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.