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Finding the Fourth Proportional to 929.90, 1,394.34 and 313.28

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Solution

The fourth proportional to 929.90, 1,394.34 and 313.28 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.90 : 1,394.34 = 313.28 : x
  2. Step 2: Convert to fraction form
    929.90/1,394.34 = 313.28/x
  3. Step 3: Cross multiply
    929.90x = 1,394.34 × 313.28
  4. Step 4: Simplify right side
    929.90x = 436,818.84
  5. Step 5: Solve for x
    x = 436,818.84/929.90
  6. Step 6: Final answer
    x = 469.75

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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.