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Finding the Fourth Proportional to 495.22, 741.66 and 459.58

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Solution

The fourth proportional to 495.22, 741.66 and 459.58 is: 688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.22 : 741.66 = 459.58 : x
  2. Step 2: Convert to fraction form
    495.22/741.66 = 459.58/x
  3. Step 3: Cross multiply
    495.22x = 741.66 × 459.58
  4. Step 4: Simplify right side
    495.22x = 340,852.10
  5. Step 5: Solve for x
    x = 340,852.10/495.22
  6. Step 6: Final answer
    x = 688.28

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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.