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Finding the Fourth Proportional to 788.81, 1,088.34 and 757.67

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Solution

The fourth proportional to 788.81, 1,088.34 and 757.67 is: 1,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.81 : 1,088.34 = 757.67 : x
  2. Step 2: Convert to fraction form
    788.81/1,088.34 = 757.67/x
  3. Step 3: Cross multiply
    788.81x = 1,088.34 × 757.67
  4. Step 4: Simplify right side
    788.81x = 824,597.13
  5. Step 5: Solve for x
    x = 824,597.13/788.81
  6. Step 6: Final answer
    x = 1,045.38

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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.