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Finding the Fourth Proportional to 491.02, 739.61 and 415.69

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Solution

The fourth proportional to 491.02, 739.61 and 415.69 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.02 : 739.61 = 415.69 : x
  2. Step 2: Convert to fraction form
    491.02/739.61 = 415.69/x
  3. Step 3: Cross multiply
    491.02x = 739.61 × 415.69
  4. Step 4: Simplify right side
    491.02x = 307,448.48
  5. Step 5: Solve for x
    x = 307,448.48/491.02
  6. Step 6: Final answer
    x = 626.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.