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Finding the Fourth Proportional to 788.26, 1,088.01 and 456.65

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Solution

The fourth proportional to 788.26, 1,088.01 and 456.65 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.26 : 1,088.01 = 456.65 : x
  2. Step 2: Convert to fraction form
    788.26/1,088.01 = 456.65/x
  3. Step 3: Cross multiply
    788.26x = 1,088.01 × 456.65
  4. Step 4: Simplify right side
    788.26x = 496,832.04
  5. Step 5: Solve for x
    x = 496,832.04/788.26
  6. Step 6: Final answer
    x = 630.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.