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Finding the Fourth Proportional to 1,605.25, 2,394.74 and 1,560.60

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Solution

The fourth proportional to 1,605.25, 2,394.74 and 1,560.60 is: 2,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.25 : 2,394.74 = 1,560.60 : x
  2. Step 2: Convert to fraction form
    1,605.25/2,394.74 = 1,560.60/x
  3. Step 3: Cross multiply
    1,605.25x = 2,394.74 × 1,560.60
  4. Step 4: Simplify right side
    1,605.25x = 3,737,235.15
  5. Step 5: Solve for x
    x = 3,737,235.15/1,605.25
  6. Step 6: Final answer
    x = 2,328.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.