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Finding the Fourth Proportional to 525.30, 784.16 and 460.50

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Solution

The fourth proportional to 525.30, 784.16 and 460.50 is: 687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.30 : 784.16 = 460.50 : x
  2. Step 2: Convert to fraction form
    525.30/784.16 = 460.50/x
  3. Step 3: Cross multiply
    525.30x = 784.16 × 460.50
  4. Step 4: Simplify right side
    525.30x = 361,105.68
  5. Step 5: Solve for x
    x = 361,105.68/525.30
  6. Step 6: Final answer
    x = 687.43

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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.