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Finding the Fourth Proportional to 1,544.59, 2,316.75 and 620.65

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Solution

The fourth proportional to 1,544.59, 2,316.75 and 620.65 is: 930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.59 : 2,316.75 = 620.65 : x
  2. Step 2: Convert to fraction form
    1,544.59/2,316.75 = 620.65/x
  3. Step 3: Cross multiply
    1,544.59x = 2,316.75 × 620.65
  4. Step 4: Simplify right side
    1,544.59x = 1,437,890.89
  5. Step 5: Solve for x
    x = 1,437,890.89/1,544.59
  6. Step 6: Final answer
    x = 930.92

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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.