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Finding the Fourth Proportional to 1,002.83, 1,501.20 and 729.45

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Solution

The fourth proportional to 1,002.83, 1,501.20 and 729.45 is: 1,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.83 : 1,501.20 = 729.45 : x
  2. Step 2: Convert to fraction form
    1,002.83/1,501.20 = 729.45/x
  3. Step 3: Cross multiply
    1,002.83x = 1,501.20 × 729.45
  4. Step 4: Simplify right side
    1,002.83x = 1,095,050.34
  5. Step 5: Solve for x
    x = 1,095,050.34/1,002.83
  6. Step 6: Final answer
    x = 1,091.97

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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.