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Finding the Fourth Proportional to 788.34, 1,087.74 and 477.84

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Solution

The fourth proportional to 788.34, 1,087.74 and 477.84 is: 659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.34 : 1,087.74 = 477.84 : x
  2. Step 2: Convert to fraction form
    788.34/1,087.74 = 477.84/x
  3. Step 3: Cross multiply
    788.34x = 1,087.74 × 477.84
  4. Step 4: Simplify right side
    788.34x = 519,765.68
  5. Step 5: Solve for x
    x = 519,765.68/788.34
  6. Step 6: Final answer
    x = 659.32

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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.