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Finding the Fourth Proportional to 2,470.66, 3,706.35 and 804.25

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Solution

The fourth proportional to 2,470.66, 3,706.35 and 804.25 is: 1,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.66 : 3,706.35 = 804.25 : x
  2. Step 2: Convert to fraction form
    2,470.66/3,706.35 = 804.25/x
  3. Step 3: Cross multiply
    2,470.66x = 3,706.35 × 804.25
  4. Step 4: Simplify right side
    2,470.66x = 2,980,831.99
  5. Step 5: Solve for x
    x = 2,980,831.99/2,470.66
  6. Step 6: Final answer
    x = 1,206.49

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1.5x scale

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.