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Finding the Fourth Proportional to 1,290.55, 1,925.02 and 1,184.40

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Solution

The fourth proportional to 1,290.55, 1,925.02 and 1,184.40 is: 1,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.55 : 1,925.02 = 1,184.40 : x
  2. Step 2: Convert to fraction form
    1,290.55/1,925.02 = 1,184.40/x
  3. Step 3: Cross multiply
    1,290.55x = 1,925.02 × 1,184.40
  4. Step 4: Simplify right side
    1,290.55x = 2,279,993.69
  5. Step 5: Solve for x
    x = 2,279,993.69/1,290.55
  6. Step 6: Final answer
    x = 1,766.68

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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.