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Finding the Fourth Proportional to 1,002.49, 1,502.67 and 385.93

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Solution

The fourth proportional to 1,002.49, 1,502.67 and 385.93 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.49 : 1,502.67 = 385.93 : x
  2. Step 2: Convert to fraction form
    1,002.49/1,502.67 = 385.93/x
  3. Step 3: Cross multiply
    1,002.49x = 1,502.67 × 385.93
  4. Step 4: Simplify right side
    1,002.49x = 579,918.14
  5. Step 5: Solve for x
    x = 579,918.14/1,002.49
  6. Step 6: Final answer
    x = 578.48

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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.