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Finding the Fourth Proportional to 894.71, 1,342.20 and 317.54

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Solution

The fourth proportional to 894.71, 1,342.20 and 317.54 is: 476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.71 : 1,342.20 = 317.54 : x
  2. Step 2: Convert to fraction form
    894.71/1,342.20 = 317.54/x
  3. Step 3: Cross multiply
    894.71x = 1,342.20 × 317.54
  4. Step 4: Simplify right side
    894.71x = 426,202.19
  5. Step 5: Solve for x
    x = 426,202.19/894.71
  6. Step 6: Final answer
    x = 476.36

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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.