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Finding the Fourth Proportional to 926.01, 1,388.63 and 377.82

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Solution

The fourth proportional to 926.01, 1,388.63 and 377.82 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.01 : 1,388.63 = 377.82 : x
  2. Step 2: Convert to fraction form
    926.01/1,388.63 = 377.82/x
  3. Step 3: Cross multiply
    926.01x = 1,388.63 × 377.82
  4. Step 4: Simplify right side
    926.01x = 524,653.13
  5. Step 5: Solve for x
    x = 524,653.13/926.01
  6. Step 6: Final answer
    x = 566.57

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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.