Home / 1,292.10-1,938.14-470.37

Finding the Fourth Proportional to 1,292.10, 1,938.14 and 470.37

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Solution

The fourth proportional to 1,292.10, 1,938.14 and 470.37 is: 705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.10 : 1,938.14 = 470.37 : x
  2. Step 2: Convert to fraction form
    1,292.10/1,938.14 = 470.37/x
  3. Step 3: Cross multiply
    1,292.10x = 1,938.14 × 470.37
  4. Step 4: Simplify right side
    1,292.10x = 911,652.24
  5. Step 5: Solve for x
    x = 911,652.24/1,292.10
  6. Step 6: Final answer
    x = 705.56

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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.