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Finding the Fourth Proportional to 1,603.62, 2,405.72 and 493.01

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Solution

The fourth proportional to 1,603.62, 2,405.72 and 493.01 is: 739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.62 : 2,405.72 = 493.01 : x
  2. Step 2: Convert to fraction form
    1,603.62/2,405.72 = 493.01/x
  3. Step 3: Cross multiply
    1,603.62x = 2,405.72 × 493.01
  4. Step 4: Simplify right side
    1,603.62x = 1,186,051.26
  5. Step 5: Solve for x
    x = 1,186,051.26/1,603.62
  6. Step 6: Final answer
    x = 739.61

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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.