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Finding the Fourth Proportional to 1,237.80, 1,855.74 and 589.32

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Solution

The fourth proportional to 1,237.80, 1,855.74 and 589.32 is: 883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.80 : 1,855.74 = 589.32 : x
  2. Step 2: Convert to fraction form
    1,237.80/1,855.74 = 589.32/x
  3. Step 3: Cross multiply
    1,237.80x = 1,855.74 × 589.32
  4. Step 4: Simplify right side
    1,237.80x = 1,093,624.70
  5. Step 5: Solve for x
    x = 1,093,624.70/1,237.80
  6. Step 6: Final answer
    x = 883.52

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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.