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Finding the Fourth Proportional to 918.29, 1,369.68 and 770.31

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Solution

The fourth proportional to 918.29, 1,369.68 and 770.31 is: 1,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.29 : 1,369.68 = 770.31 : x
  2. Step 2: Convert to fraction form
    918.29/1,369.68 = 770.31/x
  3. Step 3: Cross multiply
    918.29x = 1,369.68 × 770.31
  4. Step 4: Simplify right side
    918.29x = 1,055,081.81
  5. Step 5: Solve for x
    x = 1,055,081.81/918.29
  6. Step 6: Final answer
    x = 1,148.97

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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.