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Finding the Fourth Proportional to 557.90, 770.55 and 525.50

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Solution

The fourth proportional to 557.90, 770.55 and 525.50 is: 725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.90 : 770.55 = 525.50 : x
  2. Step 2: Convert to fraction form
    557.90/770.55 = 525.50/x
  3. Step 3: Cross multiply
    557.90x = 770.55 × 525.50
  4. Step 4: Simplify right side
    557.90x = 404,924.03
  5. Step 5: Solve for x
    x = 404,924.03/557.90
  6. Step 6: Final answer
    x = 725.80

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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.