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Finding the Fourth Proportional to 1,005.70, 1,508.56 and 275.34

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Solution

The fourth proportional to 1,005.70, 1,508.56 and 275.34 is: 413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.70 : 1,508.56 = 275.34 : x
  2. Step 2: Convert to fraction form
    1,005.70/1,508.56 = 275.34/x
  3. Step 3: Cross multiply
    1,005.70x = 1,508.56 × 275.34
  4. Step 4: Simplify right side
    1,005.70x = 415,366.91
  5. Step 5: Solve for x
    x = 415,366.91/1,005.70
  6. Step 6: Final answer
    x = 413.01

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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.