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Finding the Fourth Proportional to 1,004.13, 1,505.61 and 387.75

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Solution

The fourth proportional to 1,004.13, 1,505.61 and 387.75 is: 581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.13 : 1,505.61 = 387.75 : x
  2. Step 2: Convert to fraction form
    1,004.13/1,505.61 = 387.75/x
  3. Step 3: Cross multiply
    1,004.13x = 1,505.61 × 387.75
  4. Step 4: Simplify right side
    1,004.13x = 583,798.34
  5. Step 5: Solve for x
    x = 583,798.34/1,004.13
  6. Step 6: Final answer
    x = 581.40

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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.