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Finding the Fourth Proportional to 525.74, 784.79 and 487.72

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Solution

The fourth proportional to 525.74, 784.79 and 487.72 is: 728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.74 : 784.79 = 487.72 : x
  2. Step 2: Convert to fraction form
    525.74/784.79 = 487.72/x
  3. Step 3: Cross multiply
    525.74x = 784.79 × 487.72
  4. Step 4: Simplify right side
    525.74x = 382,758.15
  5. Step 5: Solve for x
    x = 382,758.15/525.74
  6. Step 6: Final answer
    x = 728.04

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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.