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Finding the Fourth Proportional to 1,002.16, 1,502.70 and 386.02

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Solution

The fourth proportional to 1,002.16, 1,502.70 and 386.02 is: 578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.16 : 1,502.70 = 386.02 : x
  2. Step 2: Convert to fraction form
    1,002.16/1,502.70 = 386.02/x
  3. Step 3: Cross multiply
    1,002.16x = 1,502.70 × 386.02
  4. Step 4: Simplify right side
    1,002.16x = 580,072.25
  5. Step 5: Solve for x
    x = 580,072.25/1,002.16
  6. Step 6: Final answer
    x = 578.82

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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.