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Finding the Fourth Proportional to 1,547.89, 2,321.21 and 573.77

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Solution

The fourth proportional to 1,547.89, 2,321.21 and 573.77 is: 860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.89 : 2,321.21 = 573.77 : x
  2. Step 2: Convert to fraction form
    1,547.89/2,321.21 = 573.77/x
  3. Step 3: Cross multiply
    1,547.89x = 2,321.21 × 573.77
  4. Step 4: Simplify right side
    1,547.89x = 1,331,847.90
  5. Step 5: Solve for x
    x = 1,331,847.90/1,547.89
  6. Step 6: Final answer
    x = 860.43

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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.