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Finding the Fourth Proportional to 525.72, 777.58 and 525.72

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Solution

The fourth proportional to 525.72, 777.58 and 525.72 is: 777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.72 : 777.58 = 525.72 : x
  2. Step 2: Convert to fraction form
    525.72/777.58 = 525.72/x
  3. Step 3: Cross multiply
    525.72x = 777.58 × 525.72
  4. Step 4: Simplify right side
    525.72x = 408,789.36
  5. Step 5: Solve for x
    x = 408,789.36/525.72
  6. Step 6: Final answer
    x = 777.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.