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Finding the Fourth Proportional to 449.51, 670.40 and 405.77

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Solution

The fourth proportional to 449.51, 670.40 and 405.77 is: 605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.51 : 670.40 = 405.77 : x
  2. Step 2: Convert to fraction form
    449.51/670.40 = 405.77/x
  3. Step 3: Cross multiply
    449.51x = 670.40 × 405.77
  4. Step 4: Simplify right side
    449.51x = 272,030.90
  5. Step 5: Solve for x
    x = 272,030.90/449.51
  6. Step 6: Final answer
    x = 605.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.