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Finding the Fourth Proportional to 926.69, 1,390.14 and 277.43

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Solution

The fourth proportional to 926.69, 1,390.14 and 277.43 is: 416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.69 : 1,390.14 = 277.43 : x
  2. Step 2: Convert to fraction form
    926.69/1,390.14 = 277.43/x
  3. Step 3: Cross multiply
    926.69x = 1,390.14 × 277.43
  4. Step 4: Simplify right side
    926.69x = 385,666.54
  5. Step 5: Solve for x
    x = 385,666.54/926.69
  6. Step 6: Final answer
    x = 416.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.