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Finding the Fourth Proportional to 1,554.65, 2,333.19 and 580.80

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Solution

The fourth proportional to 1,554.65, 2,333.19 and 580.80 is: 871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.65 : 2,333.19 = 580.80 : x
  2. Step 2: Convert to fraction form
    1,554.65/2,333.19 = 580.80/x
  3. Step 3: Cross multiply
    1,554.65x = 2,333.19 × 580.80
  4. Step 4: Simplify right side
    1,554.65x = 1,355,116.75
  5. Step 5: Solve for x
    x = 1,355,116.75/1,554.65
  6. Step 6: Final answer
    x = 871.66

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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.