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Finding the Fourth Proportional to 926.65, 1,389.96 and 277.39

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Solution

The fourth proportional to 926.65, 1,389.96 and 277.39 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.65 : 1,389.96 = 277.39 : x
  2. Step 2: Convert to fraction form
    926.65/1,389.96 = 277.39/x
  3. Step 3: Cross multiply
    926.65x = 1,389.96 × 277.39
  4. Step 4: Simplify right side
    926.65x = 385,561.00
  5. Step 5: Solve for x
    x = 385,561.00/926.65
  6. Step 6: Final answer
    x = 416.08

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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.