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Finding the Fourth Proportional to 788.75, 1,088.57 and 568.43

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Solution

The fourth proportional to 788.75, 1,088.57 and 568.43 is: 784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.75 : 1,088.57 = 568.43 : x
  2. Step 2: Convert to fraction form
    788.75/1,088.57 = 568.43/x
  3. Step 3: Cross multiply
    788.75x = 1,088.57 × 568.43
  4. Step 4: Simplify right side
    788.75x = 618,771.82
  5. Step 5: Solve for x
    x = 618,771.82/788.75
  6. Step 6: Final answer
    x = 784.50

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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.