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Finding the Fourth Proportional to 557.94, 832.90 and 521.22

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Solution

The fourth proportional to 557.94, 832.90 and 521.22 is: 778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 832.90 = 521.22 : x
  2. Step 2: Convert to fraction form
    557.94/832.90 = 521.22/x
  3. Step 3: Cross multiply
    557.94x = 832.90 × 521.22
  4. Step 4: Simplify right side
    557.94x = 434,124.14
  5. Step 5: Solve for x
    x = 434,124.14/557.94
  6. Step 6: Final answer
    x = 778.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.