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Finding the Fourth Proportional to 556.35, 840.84 and 546.78

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Solution

The fourth proportional to 556.35, 840.84 and 546.78 is: 826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 840.84 = 546.78 : x
  2. Step 2: Convert to fraction form
    556.35/840.84 = 546.78/x
  3. Step 3: Cross multiply
    556.35x = 840.84 × 546.78
  4. Step 4: Simplify right side
    556.35x = 459,754.50
  5. Step 5: Solve for x
    x = 459,754.50/556.35
  6. Step 6: Final answer
    x = 826.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.