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Finding the Fourth Proportional to 788.38, 1,182.72 and 442.10

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Solution

The fourth proportional to 788.38, 1,182.72 and 442.10 is: 663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.38 : 1,182.72 = 442.10 : x
  2. Step 2: Convert to fraction form
    788.38/1,182.72 = 442.10/x
  3. Step 3: Cross multiply
    788.38x = 1,182.72 × 442.10
  4. Step 4: Simplify right side
    788.38x = 522,880.51
  5. Step 5: Solve for x
    x = 522,880.51/788.38
  6. Step 6: Final answer
    x = 663.23

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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.