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Finding the Fourth Proportional to 1,673.72, 2,509.61 and 577.79

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Solution

The fourth proportional to 1,673.72, 2,509.61 and 577.79 is: 866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.72 : 2,509.61 = 577.79 : x
  2. Step 2: Convert to fraction form
    1,673.72/2,509.61 = 577.79/x
  3. Step 3: Cross multiply
    1,673.72x = 2,509.61 × 577.79
  4. Step 4: Simplify right side
    1,673.72x = 1,450,012.12
  5. Step 5: Solve for x
    x = 1,450,012.12/1,673.72
  6. Step 6: Final answer
    x = 866.34

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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.