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Finding the Fourth Proportional to 525.42, 728.41 and 497.68

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Solution

The fourth proportional to 525.42, 728.41 and 497.68 is: 689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 728.41 = 497.68 : x
  2. Step 2: Convert to fraction form
    525.42/728.41 = 497.68/x
  3. Step 3: Cross multiply
    525.42x = 728.41 × 497.68
  4. Step 4: Simplify right side
    525.42x = 362,515.09
  5. Step 5: Solve for x
    x = 362,515.09/525.42
  6. Step 6: Final answer
    x = 689.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.