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Finding the Fourth Proportional to 1,002.66, 1,502.96 and 386.21

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Solution

The fourth proportional to 1,002.66, 1,502.96 and 386.21 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.66 : 1,502.96 = 386.21 : x
  2. Step 2: Convert to fraction form
    1,002.66/1,502.96 = 386.21/x
  3. Step 3: Cross multiply
    1,002.66x = 1,502.96 × 386.21
  4. Step 4: Simplify right side
    1,002.66x = 580,448.74
  5. Step 5: Solve for x
    x = 580,448.74/1,002.66
  6. Step 6: Final answer
    x = 578.91

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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.