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Finding the Fourth Proportional to 1,003.51, 1,504.89 and 345.20

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Solution

The fourth proportional to 1,003.51, 1,504.89 and 345.20 is: 517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.51 : 1,504.89 = 345.20 : x
  2. Step 2: Convert to fraction form
    1,003.51/1,504.89 = 345.20/x
  3. Step 3: Cross multiply
    1,003.51x = 1,504.89 × 345.20
  4. Step 4: Simplify right side
    1,003.51x = 519,488.03
  5. Step 5: Solve for x
    x = 519,488.03/1,003.51
  6. Step 6: Final answer
    x = 517.67

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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.