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Finding the Fourth Proportional to 553.93, 832.72 and 462.81

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Solution

The fourth proportional to 553.93, 832.72 and 462.81 is: 695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.93 : 832.72 = 462.81 : x
  2. Step 2: Convert to fraction form
    553.93/832.72 = 462.81/x
  3. Step 3: Cross multiply
    553.93x = 832.72 × 462.81
  4. Step 4: Simplify right side
    553.93x = 385,386.98
  5. Step 5: Solve for x
    x = 385,386.98/553.93
  6. Step 6: Final answer
    x = 695.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.