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Finding the Fourth Proportional to 1,003.94, 1,507.14 and 477.35

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Solution

The fourth proportional to 1,003.94, 1,507.14 and 477.35 is: 716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.94 : 1,507.14 = 477.35 : x
  2. Step 2: Convert to fraction form
    1,003.94/1,507.14 = 477.35/x
  3. Step 3: Cross multiply
    1,003.94x = 1,507.14 × 477.35
  4. Step 4: Simplify right side
    1,003.94x = 719,433.28
  5. Step 5: Solve for x
    x = 719,433.28/1,003.94
  6. Step 6: Final answer
    x = 716.61

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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.