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Finding the Fourth Proportional to 525.96, 784.50 and 456.94

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Solution

The fourth proportional to 525.96, 784.50 and 456.94 is: 681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.96 : 784.50 = 456.94 : x
  2. Step 2: Convert to fraction form
    525.96/784.50 = 456.94/x
  3. Step 3: Cross multiply
    525.96x = 784.50 × 456.94
  4. Step 4: Simplify right side
    525.96x = 358,469.43
  5. Step 5: Solve for x
    x = 358,469.43/525.96
  6. Step 6: Final answer
    x = 681.55

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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.