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Finding the Fourth Proportional to 929.54, 1,392.96 and 436.10

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Solution

The fourth proportional to 929.54, 1,392.96 and 436.10 is: 653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.54 : 1,392.96 = 436.10 : x
  2. Step 2: Convert to fraction form
    929.54/1,392.96 = 436.10/x
  3. Step 3: Cross multiply
    929.54x = 1,392.96 × 436.10
  4. Step 4: Simplify right side
    929.54x = 607,469.86
  5. Step 5: Solve for x
    x = 607,469.86/929.54
  6. Step 6: Final answer
    x = 653.52

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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.