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Finding the Fourth Proportional to 612.29, 843.14 and 598.67

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Solution

The fourth proportional to 612.29, 843.14 and 598.67 is: 824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.29 : 843.14 = 598.67 : x
  2. Step 2: Convert to fraction form
    612.29/843.14 = 598.67/x
  3. Step 3: Cross multiply
    612.29x = 843.14 × 598.67
  4. Step 4: Simplify right side
    612.29x = 504,762.62
  5. Step 5: Solve for x
    x = 504,762.62/612.29
  6. Step 6: Final answer
    x = 824.38

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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.