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Finding the Fourth Proportional to 1,003.95, 1,504.71 and 612.72

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Solution

The fourth proportional to 1,003.95, 1,504.71 and 612.72 is: 918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.95 : 1,504.71 = 612.72 : x
  2. Step 2: Convert to fraction form
    1,003.95/1,504.71 = 612.72/x
  3. Step 3: Cross multiply
    1,003.95x = 1,504.71 × 612.72
  4. Step 4: Simplify right side
    1,003.95x = 921,965.91
  5. Step 5: Solve for x
    x = 921,965.91/1,003.95
  6. Step 6: Final answer
    x = 918.34

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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.