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Finding the Fourth Proportional to 482.59, 723.93 and 158.05

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Solution

The fourth proportional to 482.59, 723.93 and 158.05 is: 237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.59 : 723.93 = 158.05 : x
  2. Step 2: Convert to fraction form
    482.59/723.93 = 158.05/x
  3. Step 3: Cross multiply
    482.59x = 723.93 × 158.05
  4. Step 4: Simplify right side
    482.59x = 114,417.14
  5. Step 5: Solve for x
    x = 114,417.14/482.59
  6. Step 6: Final answer
    x = 237.09

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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.