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Finding the Fourth Proportional to 596.98, 824.01 and 466.18

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Solution

The fourth proportional to 596.98, 824.01 and 466.18 is: 643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.98 : 824.01 = 466.18 : x
  2. Step 2: Convert to fraction form
    596.98/824.01 = 466.18/x
  3. Step 3: Cross multiply
    596.98x = 824.01 × 466.18
  4. Step 4: Simplify right side
    596.98x = 384,136.98
  5. Step 5: Solve for x
    x = 384,136.98/596.98
  6. Step 6: Final answer
    x = 643.47

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Double scale
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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.