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Finding the Fourth Proportional to 469.52, 703.26 and 286.36

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Solution

The fourth proportional to 469.52, 703.26 and 286.36 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.52 : 703.26 = 286.36 : x
  2. Step 2: Convert to fraction form
    469.52/703.26 = 286.36/x
  3. Step 3: Cross multiply
    469.52x = 703.26 × 286.36
  4. Step 4: Simplify right side
    469.52x = 201,384.95
  5. Step 5: Solve for x
    x = 201,384.95/469.52
  6. Step 6: Final answer
    x = 428.92

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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.