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Finding the Fourth Proportional to 1,085.29, 1,625.31 and 621.66

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Solution

The fourth proportional to 1,085.29, 1,625.31 and 621.66 is: 930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.29 : 1,625.31 = 621.66 : x
  2. Step 2: Convert to fraction form
    1,085.29/1,625.31 = 621.66/x
  3. Step 3: Cross multiply
    1,085.29x = 1,625.31 × 621.66
  4. Step 4: Simplify right side
    1,085.29x = 1,010,390.21
  5. Step 5: Solve for x
    x = 1,010,390.21/1,085.29
  6. Step 6: Final answer
    x = 930.99

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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.