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Finding the Fourth Proportional to 852.50, 1,176.38 and 479.36

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Solution

The fourth proportional to 852.50, 1,176.38 and 479.36 is: 661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.50 : 1,176.38 = 479.36 : x
  2. Step 2: Convert to fraction form
    852.50/1,176.38 = 479.36/x
  3. Step 3: Cross multiply
    852.50x = 1,176.38 × 479.36
  4. Step 4: Simplify right side
    852.50x = 563,909.52
  5. Step 5: Solve for x
    x = 563,909.52/852.50
  6. Step 6: Final answer
    x = 661.48

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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.