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Finding the Fourth Proportional to 1,004.32, 1,505.76 and 387.51

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Solution

The fourth proportional to 1,004.32, 1,505.76 and 387.51 is: 580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.32 : 1,505.76 = 387.51 : x
  2. Step 2: Convert to fraction form
    1,004.32/1,505.76 = 387.51/x
  3. Step 3: Cross multiply
    1,004.32x = 1,505.76 × 387.51
  4. Step 4: Simplify right side
    1,004.32x = 583,497.06
  5. Step 5: Solve for x
    x = 583,497.06/1,004.32
  6. Step 6: Final answer
    x = 580.99

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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.