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Finding the Fourth Proportional to 1,544.37, 2,317.58 and 722.71

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Solution

The fourth proportional to 1,544.37, 2,317.58 and 722.71 is: 1,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.37 : 2,317.58 = 722.71 : x
  2. Step 2: Convert to fraction form
    1,544.37/2,317.58 = 722.71/x
  3. Step 3: Cross multiply
    1,544.37x = 2,317.58 × 722.71
  4. Step 4: Simplify right side
    1,544.37x = 1,674,938.24
  5. Step 5: Solve for x
    x = 1,674,938.24/1,544.37
  6. Step 6: Final answer
    x = 1,084.54

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1.5x scale

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.