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Finding the Fourth Proportional to 929.11, 1,392.95 and 415.75

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Solution

The fourth proportional to 929.11, 1,392.95 and 415.75 is: 623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.11 : 1,392.95 = 415.75 : x
  2. Step 2: Convert to fraction form
    929.11/1,392.95 = 415.75/x
  3. Step 3: Cross multiply
    929.11x = 1,392.95 × 415.75
  4. Step 4: Simplify right side
    929.11x = 579,116.88
  5. Step 5: Solve for x
    x = 579,116.88/929.11
  6. Step 6: Final answer
    x = 623.30

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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.