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Finding the Fourth Proportional to 852.63, 1,176.60 and 521.40

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Solution

The fourth proportional to 852.63, 1,176.60 and 521.40 is: 719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.63 : 1,176.60 = 521.40 : x
  2. Step 2: Convert to fraction form
    852.63/1,176.60 = 521.40/x
  3. Step 3: Cross multiply
    852.63x = 1,176.60 × 521.40
  4. Step 4: Simplify right side
    852.63x = 613,479.24
  5. Step 5: Solve for x
    x = 613,479.24/852.63
  6. Step 6: Final answer
    x = 719.51

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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.