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Finding the Fourth Proportional to 1,005.09, 1,507.65 and 388.87

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Solution

The fourth proportional to 1,005.09, 1,507.65 and 388.87 is: 583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.09 : 1,507.65 = 388.87 : x
  2. Step 2: Convert to fraction form
    1,005.09/1,507.65 = 388.87/x
  3. Step 3: Cross multiply
    1,005.09x = 1,507.65 × 388.87
  4. Step 4: Simplify right side
    1,005.09x = 586,274.63
  5. Step 5: Solve for x
    x = 586,274.63/1,005.09
  6. Step 6: Final answer
    x = 583.30

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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.