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Finding the Fourth Proportional to 954.98, 1,433.80 and 493.09

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Solution

The fourth proportional to 954.98, 1,433.80 and 493.09 is: 740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.98 : 1,433.80 = 493.09 : x
  2. Step 2: Convert to fraction form
    954.98/1,433.80 = 493.09/x
  3. Step 3: Cross multiply
    954.98x = 1,433.80 × 493.09
  4. Step 4: Simplify right side
    954.98x = 706,995.44
  5. Step 5: Solve for x
    x = 706,995.44/954.98
  6. Step 6: Final answer
    x = 740.32

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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.