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Finding the Fourth Proportional to 1,339.73, 1,848.91 and 750.30

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Solution

The fourth proportional to 1,339.73, 1,848.91 and 750.30 is: 1,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.73 : 1,848.91 = 750.30 : x
  2. Step 2: Convert to fraction form
    1,339.73/1,848.91 = 750.30/x
  3. Step 3: Cross multiply
    1,339.73x = 1,848.91 × 750.30
  4. Step 4: Simplify right side
    1,339.73x = 1,387,237.17
  5. Step 5: Solve for x
    x = 1,387,237.17/1,339.73
  6. Step 6: Final answer
    x = 1,035.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.