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Finding the Fourth Proportional to 1,002.98, 1,502.69 and 612.79

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Solution

The fourth proportional to 1,002.98, 1,502.69 and 612.79 is: 918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.98 : 1,502.69 = 612.79 : x
  2. Step 2: Convert to fraction form
    1,002.98/1,502.69 = 612.79/x
  3. Step 3: Cross multiply
    1,002.98x = 1,502.69 × 612.79
  4. Step 4: Simplify right side
    1,002.98x = 920,826.58
  5. Step 5: Solve for x
    x = 920,826.58/1,002.98
  6. Step 6: Final answer
    x = 918.09

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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.