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Finding the Fourth Proportional to 1,405.67, 1,938.24 and 907.65

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Solution

The fourth proportional to 1,405.67, 1,938.24 and 907.65 is: 1,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.67 : 1,938.24 = 907.65 : x
  2. Step 2: Convert to fraction form
    1,405.67/1,938.24 = 907.65/x
  3. Step 3: Cross multiply
    1,405.67x = 1,938.24 × 907.65
  4. Step 4: Simplify right side
    1,405.67x = 1,759,243.54
  5. Step 5: Solve for x
    x = 1,759,243.54/1,405.67
  6. Step 6: Final answer
    x = 1,251.54

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1.5x scale

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.