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Finding the Fourth Proportional to 598.65, 825.21 and 487.93

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Solution

The fourth proportional to 598.65, 825.21 and 487.93 is: 672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.65 : 825.21 = 487.93 : x
  2. Step 2: Convert to fraction form
    598.65/825.21 = 487.93/x
  3. Step 3: Cross multiply
    598.65x = 825.21 × 487.93
  4. Step 4: Simplify right side
    598.65x = 402,644.72
  5. Step 5: Solve for x
    x = 402,644.72/598.65
  6. Step 6: Final answer
    x = 672.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.