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Finding the Fourth Proportional to 598.76, 825.34 and 500.34

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Solution

The fourth proportional to 598.76, 825.34 and 500.34 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 825.34 = 500.34 : x
  2. Step 2: Convert to fraction form
    598.76/825.34 = 500.34/x
  3. Step 3: Cross multiply
    598.76x = 825.34 × 500.34
  4. Step 4: Simplify right side
    598.76x = 412,950.62
  5. Step 5: Solve for x
    x = 412,950.62/598.76
  6. Step 6: Final answer
    x = 689.68

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1.5x scale

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.