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Finding the Fourth Proportional to 929.60, 1,394.55 and 374.32

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Solution

The fourth proportional to 929.60, 1,394.55 and 374.32 is: 561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,394.55 = 374.32 : x
  2. Step 2: Convert to fraction form
    929.60/1,394.55 = 374.32/x
  3. Step 3: Cross multiply
    929.60x = 1,394.55 × 374.32
  4. Step 4: Simplify right side
    929.60x = 522,007.96
  5. Step 5: Solve for x
    x = 522,007.96/929.60
  6. Step 6: Final answer
    x = 561.54

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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.