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Finding the Fourth Proportional to 1,314.65, 1,971.95 and 340.73

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Solution

The fourth proportional to 1,314.65, 1,971.95 and 340.73 is: 511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.65 : 1,971.95 = 340.73 : x
  2. Step 2: Convert to fraction form
    1,314.65/1,971.95 = 340.73/x
  3. Step 3: Cross multiply
    1,314.65x = 1,971.95 × 340.73
  4. Step 4: Simplify right side
    1,314.65x = 671,902.52
  5. Step 5: Solve for x
    x = 671,902.52/1,314.65
  6. Step 6: Final answer
    x = 511.09

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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.