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Finding the Fourth Proportional to 1,005.42, 1,508.12 and 275

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Solution

The fourth proportional to 1,005.42, 1,508.12 and 275 is: 412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.42 : 1,508.12 = 275 : x
  2. Step 2: Convert to fraction form
    1,005.42/1,508.12 = 275/x
  3. Step 3: Cross multiply
    1,005.42x = 1,508.12 × 275
  4. Step 4: Simplify right side
    1,005.42x = 414,733.00
  5. Step 5: Solve for x
    x = 414,733.00/1,005.42
  6. Step 6: Final answer
    x = 412.50

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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.