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Finding the Fourth Proportional to 1,231.70, 1,848.02 and 501.35

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Solution

The fourth proportional to 1,231.70, 1,848.02 and 501.35 is: 752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.70 : 1,848.02 = 501.35 : x
  2. Step 2: Convert to fraction form
    1,231.70/1,848.02 = 501.35/x
  3. Step 3: Cross multiply
    1,231.70x = 1,848.02 × 501.35
  4. Step 4: Simplify right side
    1,231.70x = 926,493.08
  5. Step 5: Solve for x
    x = 926,493.08/1,231.70
  6. Step 6: Final answer
    x = 752.21

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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.