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Finding the Fourth Proportional to 1,005.47, 1,508.15 and 275.05

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Solution

The fourth proportional to 1,005.47, 1,508.15 and 275.05 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.47 : 1,508.15 = 275.05 : x
  2. Step 2: Convert to fraction form
    1,005.47/1,508.15 = 275.05/x
  3. Step 3: Cross multiply
    1,005.47x = 1,508.15 × 275.05
  4. Step 4: Simplify right side
    1,005.47x = 414,809.46
  5. Step 5: Solve for x
    x = 414,809.46/1,005.47
  6. Step 6: Final answer
    x = 412.55

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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.