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Finding the Fourth Proportional to 788.00, 1,087.02 and 508.41

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Solution

The fourth proportional to 788.00, 1,087.02 and 508.41 is: 701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.00 : 1,087.02 = 508.41 : x
  2. Step 2: Convert to fraction form
    788.00/1,087.02 = 508.41/x
  3. Step 3: Cross multiply
    788.00x = 1,087.02 × 508.41
  4. Step 4: Simplify right side
    788.00x = 552,651.84
  5. Step 5: Solve for x
    x = 552,651.84/788.00
  6. Step 6: Final answer
    x = 701.34

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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.