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Finding the Fourth Proportional to 788.62, 1,088.40 and 568.30

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Solution

The fourth proportional to 788.62, 1,088.40 and 568.30 is: 784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.62 : 1,088.40 = 568.30 : x
  2. Step 2: Convert to fraction form
    788.62/1,088.40 = 568.30/x
  3. Step 3: Cross multiply
    788.62x = 1,088.40 × 568.30
  4. Step 4: Simplify right side
    788.62x = 618,537.72
  5. Step 5: Solve for x
    x = 618,537.72/788.62
  6. Step 6: Final answer
    x = 784.33

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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.