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Finding the Fourth Proportional to 489, 736.40 and 407.51

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Solution

The fourth proportional to 489, 736.40 and 407.51 is: 613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 736.40 = 407.51 : x
  2. Step 2: Convert to fraction form
    489/736.40 = 407.51/x
  3. Step 3: Cross multiply
    489x = 736.40 × 407.51
  4. Step 4: Simplify right side
    489x = 300,090.36
  5. Step 5: Solve for x
    x = 300,090.36/489
  6. Step 6: Final answer
    x = 613.68

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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.