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Finding the Fourth Proportional to 683.16, 945.21 and 595.99

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Solution

The fourth proportional to 683.16, 945.21 and 595.99 is: 824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 945.21 = 595.99 : x
  2. Step 2: Convert to fraction form
    683.16/945.21 = 595.99/x
  3. Step 3: Cross multiply
    683.16x = 945.21 × 595.99
  4. Step 4: Simplify right side
    683.16x = 563,335.71
  5. Step 5: Solve for x
    x = 563,335.71/683.16
  6. Step 6: Final answer
    x = 824.60

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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.