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Finding the Fourth Proportional to 557.45, 770.24 and 537.74

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Solution

The fourth proportional to 557.45, 770.24 and 537.74 is: 743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.45 : 770.24 = 537.74 : x
  2. Step 2: Convert to fraction form
    557.45/770.24 = 537.74/x
  3. Step 3: Cross multiply
    557.45x = 770.24 × 537.74
  4. Step 4: Simplify right side
    557.45x = 414,182.32
  5. Step 5: Solve for x
    x = 414,182.32/557.45
  6. Step 6: Final answer
    x = 743.00

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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.