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Finding the Fourth Proportional to 788.98, 1,088.77 and 494.41

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Solution

The fourth proportional to 788.98, 1,088.77 and 494.41 is: 682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.98 : 1,088.77 = 494.41 : x
  2. Step 2: Convert to fraction form
    788.98/1,088.77 = 494.41/x
  3. Step 3: Cross multiply
    788.98x = 1,088.77 × 494.41
  4. Step 4: Simplify right side
    788.98x = 538,290.86
  5. Step 5: Solve for x
    x = 538,290.86/788.98
  6. Step 6: Final answer
    x = 682.27

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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.