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Finding the Fourth Proportional to 926.14, 1,389.34 and 378.40

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Solution

The fourth proportional to 926.14, 1,389.34 and 378.40 is: 567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.14 : 1,389.34 = 378.40 : x
  2. Step 2: Convert to fraction form
    926.14/1,389.34 = 378.40/x
  3. Step 3: Cross multiply
    926.14x = 1,389.34 × 378.40
  4. Step 4: Simplify right side
    926.14x = 525,726.26
  5. Step 5: Solve for x
    x = 525,726.26/926.14
  6. Step 6: Final answer
    x = 567.65

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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.