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Finding the Fourth Proportional to 926.76, 1,389.72 and 349.56

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Solution

The fourth proportional to 926.76, 1,389.72 and 349.56 is: 524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,389.72 = 349.56 : x
  2. Step 2: Convert to fraction form
    926.76/1,389.72 = 349.56/x
  3. Step 3: Cross multiply
    926.76x = 1,389.72 × 349.56
  4. Step 4: Simplify right side
    926.76x = 485,790.52
  5. Step 5: Solve for x
    x = 485,790.52/926.76
  6. Step 6: Final answer
    x = 524.18

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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.