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Finding the Fourth Proportional to 1,001, 1,501.54 and 307.61

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Solution

The fourth proportional to 1,001, 1,501.54 and 307.61 is: 461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001 : 1,501.54 = 307.61 : x
  2. Step 2: Convert to fraction form
    1,001/1,501.54 = 307.61/x
  3. Step 3: Cross multiply
    1,001x = 1,501.54 × 307.61
  4. Step 4: Simplify right side
    1,001x = 461,888.72
  5. Step 5: Solve for x
    x = 461,888.72/1,001
  6. Step 6: Final answer
    x = 461.43

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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.