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Finding the Fourth Proportional to 788.50, 1,176.35 and 750.22

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Solution

The fourth proportional to 788.50, 1,176.35 and 750.22 is: 1,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.50 : 1,176.35 = 750.22 : x
  2. Step 2: Convert to fraction form
    788.50/1,176.35 = 750.22/x
  3. Step 3: Cross multiply
    788.50x = 1,176.35 × 750.22
  4. Step 4: Simplify right side
    788.50x = 882,521.30
  5. Step 5: Solve for x
    x = 882,521.30/788.50
  6. Step 6: Final answer
    x = 1,119.24

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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.