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Finding the Fourth Proportional to 487.05, 729.53 and 357.27

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Solution

The fourth proportional to 487.05, 729.53 and 357.27 is: 535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.05 : 729.53 = 357.27 : x
  2. Step 2: Convert to fraction form
    487.05/729.53 = 357.27/x
  3. Step 3: Cross multiply
    487.05x = 729.53 × 357.27
  4. Step 4: Simplify right side
    487.05x = 260,639.18
  5. Step 5: Solve for x
    x = 260,639.18/487.05
  6. Step 6: Final answer
    x = 535.14

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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.