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Finding the Fourth Proportional to 596.84, 823.15 and 420.39

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Solution

The fourth proportional to 596.84, 823.15 and 420.39 is: 579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.84 : 823.15 = 420.39 : x
  2. Step 2: Convert to fraction form
    596.84/823.15 = 420.39/x
  3. Step 3: Cross multiply
    596.84x = 823.15 × 420.39
  4. Step 4: Simplify right side
    596.84x = 346,039.89
  5. Step 5: Solve for x
    x = 346,039.89/596.84
  6. Step 6: Final answer
    x = 579.79

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.