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Finding the Fourth Proportional to 904.97, 1,247.49 and 708.14

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Solution

The fourth proportional to 904.97, 1,247.49 and 708.14 is: 976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.97 : 1,247.49 = 708.14 : x
  2. Step 2: Convert to fraction form
    904.97/1,247.49 = 708.14/x
  3. Step 3: Cross multiply
    904.97x = 1,247.49 × 708.14
  4. Step 4: Simplify right side
    904.97x = 883,400.69
  5. Step 5: Solve for x
    x = 883,400.69/904.97
  6. Step 6: Final answer
    x = 976.16

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Double scale
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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.