Home / 1,292.16-1,938.50-470.46

Finding the Fourth Proportional to 1,292.16, 1,938.50 and 470.46

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Solution

The fourth proportional to 1,292.16, 1,938.50 and 470.46 is: 705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.16 : 1,938.50 = 470.46 : x
  2. Step 2: Convert to fraction form
    1,292.16/1,938.50 = 470.46/x
  3. Step 3: Cross multiply
    1,292.16x = 1,938.50 × 470.46
  4. Step 4: Simplify right side
    1,292.16x = 911,984.36
  5. Step 5: Solve for x
    x = 911,984.36/1,292.16
  6. Step 6: Final answer
    x = 705.78

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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.