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Finding the Fourth Proportional to 1,762, 2,642.98 and 788.78

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Solution

The fourth proportional to 1,762, 2,642.98 and 788.78 is: 1,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762 : 2,642.98 = 788.78 : x
  2. Step 2: Convert to fraction form
    1,762/2,642.98 = 788.78/x
  3. Step 3: Cross multiply
    1,762x = 2,642.98 × 788.78
  4. Step 4: Simplify right side
    1,762x = 2,084,729.76
  5. Step 5: Solve for x
    x = 2,084,729.76/1,762
  6. Step 6: Final answer
    x = 1,183.16

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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.