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Finding the Fourth Proportional to 525.72, 784.59 and 504.53

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Solution

The fourth proportional to 525.72, 784.59 and 504.53 is: 752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.72 : 784.59 = 504.53 : x
  2. Step 2: Convert to fraction form
    525.72/784.59 = 504.53/x
  3. Step 3: Cross multiply
    525.72x = 784.59 × 504.53
  4. Step 4: Simplify right side
    525.72x = 395,849.19
  5. Step 5: Solve for x
    x = 395,849.19/525.72
  6. Step 6: Final answer
    x = 752.97

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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.