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Finding the Fourth Proportional to 631.53, 946.03 and 493.93

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Solution

The fourth proportional to 631.53, 946.03 and 493.93 is: 739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.53 : 946.03 = 493.93 : x
  2. Step 2: Convert to fraction form
    631.53/946.03 = 493.93/x
  3. Step 3: Cross multiply
    631.53x = 946.03 × 493.93
  4. Step 4: Simplify right side
    631.53x = 467,271.56
  5. Step 5: Solve for x
    x = 467,271.56/631.53
  6. Step 6: Final answer
    x = 739.91

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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.