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Finding the Fourth Proportional to 926.76, 1,390.02 and 378.84

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Solution

The fourth proportional to 926.76, 1,390.02 and 378.84 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,390.02 = 378.84 : x
  2. Step 2: Convert to fraction form
    926.76/1,390.02 = 378.84/x
  3. Step 3: Cross multiply
    926.76x = 1,390.02 × 378.84
  4. Step 4: Simplify right side
    926.76x = 526,595.18
  5. Step 5: Solve for x
    x = 526,595.18/926.76
  6. Step 6: Final answer
    x = 568.21

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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.