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Finding the Fourth Proportional to 852.42, 1,176.36 and 479.42

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Solution

The fourth proportional to 852.42, 1,176.36 and 479.42 is: 661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.42 : 1,176.36 = 479.42 : x
  2. Step 2: Convert to fraction form
    852.42/1,176.36 = 479.42/x
  3. Step 3: Cross multiply
    852.42x = 1,176.36 × 479.42
  4. Step 4: Simplify right side
    852.42x = 563,967.24
  5. Step 5: Solve for x
    x = 563,967.24/852.42
  6. Step 6: Final answer
    x = 661.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.