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Finding the Fourth Proportional to 926.64, 1,389.32 and 378.64

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Solution

The fourth proportional to 926.64, 1,389.32 and 378.64 is: 567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,389.32 = 378.64 : x
  2. Step 2: Convert to fraction form
    926.64/1,389.32 = 378.64/x
  3. Step 3: Cross multiply
    926.64x = 1,389.32 × 378.64
  4. Step 4: Simplify right side
    926.64x = 526,052.12
  5. Step 5: Solve for x
    x = 526,052.12/926.64
  6. Step 6: Final answer
    x = 567.70

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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.