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Finding the Fourth Proportional to 929.22, 1,393.94 and 312.99

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Solution

The fourth proportional to 929.22, 1,393.94 and 312.99 is: 469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.22 : 1,393.94 = 312.99 : x
  2. Step 2: Convert to fraction form
    929.22/1,393.94 = 312.99/x
  3. Step 3: Cross multiply
    929.22x = 1,393.94 × 312.99
  4. Step 4: Simplify right side
    929.22x = 436,289.28
  5. Step 5: Solve for x
    x = 436,289.28/929.22
  6. Step 6: Final answer
    x = 469.52

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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.