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Finding the Fourth Proportional to 788.94, 1,088.74 and 457.65

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Solution

The fourth proportional to 788.94, 1,088.74 and 457.65 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.94 : 1,088.74 = 457.65 : x
  2. Step 2: Convert to fraction form
    788.94/1,088.74 = 457.65/x
  3. Step 3: Cross multiply
    788.94x = 1,088.74 × 457.65
  4. Step 4: Simplify right side
    788.94x = 498,262.43
  5. Step 5: Solve for x
    x = 498,262.43/788.94
  6. Step 6: Final answer
    x = 631.56

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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.