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Finding the Fourth Proportional to 788.51, 1,176.86 and 775.54

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Solution

The fourth proportional to 788.51, 1,176.86 and 775.54 is: 1,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.51 : 1,176.86 = 775.54 : x
  2. Step 2: Convert to fraction form
    788.51/1,176.86 = 775.54/x
  3. Step 3: Cross multiply
    788.51x = 1,176.86 × 775.54
  4. Step 4: Simplify right side
    788.51x = 912,702.00
  5. Step 5: Solve for x
    x = 912,702.00/788.51
  6. Step 6: Final answer
    x = 1,157.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.