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Finding the Fourth Proportional to 1,144.74, 1,579.80 and 647.19

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Solution

The fourth proportional to 1,144.74, 1,579.80 and 647.19 is: 893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.74 : 1,579.80 = 647.19 : x
  2. Step 2: Convert to fraction form
    1,144.74/1,579.80 = 647.19/x
  3. Step 3: Cross multiply
    1,144.74x = 1,579.80 × 647.19
  4. Step 4: Simplify right side
    1,144.74x = 1,022,430.76
  5. Step 5: Solve for x
    x = 1,022,430.76/1,144.74
  6. Step 6: Final answer
    x = 893.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.