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Finding the Fourth Proportional to 1,029.25, 1,543.88 and 259.75

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Solution

The fourth proportional to 1,029.25, 1,543.88 and 259.75 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.25 : 1,543.88 = 259.75 : x
  2. Step 2: Convert to fraction form
    1,029.25/1,543.88 = 259.75/x
  3. Step 3: Cross multiply
    1,029.25x = 1,543.88 × 259.75
  4. Step 4: Simplify right side
    1,029.25x = 401,022.83
  5. Step 5: Solve for x
    x = 401,022.83/1,029.25
  6. Step 6: Final answer
    x = 389.63

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Half scale
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Double scale
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Similar ratio
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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.