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Finding the Fourth Proportional to 1,029.12, 1,543.60 and 259.60

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Solution

The fourth proportional to 1,029.12, 1,543.60 and 259.60 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.12 : 1,543.60 = 259.60 : x
  2. Step 2: Convert to fraction form
    1,029.12/1,543.60 = 259.60/x
  3. Step 3: Cross multiply
    1,029.12x = 1,543.60 × 259.60
  4. Step 4: Simplify right side
    1,029.12x = 400,718.56
  5. Step 5: Solve for x
    x = 400,718.56/1,029.12
  6. Step 6: Final answer
    x = 389.38

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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.