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Finding the Fourth Proportional to 904.71, 1,247.56 and 804.81

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Solution

The fourth proportional to 904.71, 1,247.56 and 804.81 is: 1,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.71 : 1,247.56 = 804.81 : x
  2. Step 2: Convert to fraction form
    904.71/1,247.56 = 804.81/x
  3. Step 3: Cross multiply
    904.71x = 1,247.56 × 804.81
  4. Step 4: Simplify right side
    904.71x = 1,004,048.76
  5. Step 5: Solve for x
    x = 1,004,048.76/904.71
  6. Step 6: Final answer
    x = 1,109.80

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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.