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Finding the Fourth Proportional to 596.72, 891.62 and 457.13

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Solution

The fourth proportional to 596.72, 891.62 and 457.13 is: 683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 891.62 = 457.13 : x
  2. Step 2: Convert to fraction form
    596.72/891.62 = 457.13/x
  3. Step 3: Cross multiply
    596.72x = 891.62 × 457.13
  4. Step 4: Simplify right side
    596.72x = 407,579.51
  5. Step 5: Solve for x
    x = 407,579.51/596.72
  6. Step 6: Final answer
    x = 683.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.