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Finding the Fourth Proportional to 1,002.02, 1,502.97 and 386.01

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Solution

The fourth proportional to 1,002.02, 1,502.97 and 386.01 is: 578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.02 : 1,502.97 = 386.01 : x
  2. Step 2: Convert to fraction form
    1,002.02/1,502.97 = 386.01/x
  3. Step 3: Cross multiply
    1,002.02x = 1,502.97 × 386.01
  4. Step 4: Simplify right side
    1,002.02x = 580,161.45
  5. Step 5: Solve for x
    x = 580,161.45/1,002.02
  6. Step 6: Final answer
    x = 578.99

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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.