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Finding the Fourth Proportional to 557.86, 770.31 and 426.64

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Solution

The fourth proportional to 557.86, 770.31 and 426.64 is: 589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 770.31 = 426.64 : x
  2. Step 2: Convert to fraction form
    557.86/770.31 = 426.64/x
  3. Step 3: Cross multiply
    557.86x = 770.31 × 426.64
  4. Step 4: Simplify right side
    557.86x = 328,645.06
  5. Step 5: Solve for x
    x = 328,645.06/557.86
  6. Step 6: Final answer
    x = 589.12

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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.