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Finding the Fourth Proportional to 904.93, 1,357.31 and 255.66

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Solution

The fourth proportional to 904.93, 1,357.31 and 255.66 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.93 : 1,357.31 = 255.66 : x
  2. Step 2: Convert to fraction form
    904.93/1,357.31 = 255.66/x
  3. Step 3: Cross multiply
    904.93x = 1,357.31 × 255.66
  4. Step 4: Simplify right side
    904.93x = 347,012.57
  5. Step 5: Solve for x
    x = 347,012.57/904.93
  6. Step 6: Final answer
    x = 383.47

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Double scale
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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.