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Finding the Fourth Proportional to 487.04, 729.72 and 365.12

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Solution

The fourth proportional to 487.04, 729.72 and 365.12 is: 547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.04 : 729.72 = 365.12 : x
  2. Step 2: Convert to fraction form
    487.04/729.72 = 365.12/x
  3. Step 3: Cross multiply
    487.04x = 729.72 × 365.12
  4. Step 4: Simplify right side
    487.04x = 266,435.37
  5. Step 5: Solve for x
    x = 266,435.37/487.04
  6. Step 6: Final answer
    x = 547.05

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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.