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Finding the Fourth Proportional to 469.54, 703.75 and 353.61

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Solution

The fourth proportional to 469.54, 703.75 and 353.61 is: 529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.54 : 703.75 = 353.61 : x
  2. Step 2: Convert to fraction form
    469.54/703.75 = 353.61/x
  3. Step 3: Cross multiply
    469.54x = 703.75 × 353.61
  4. Step 4: Simplify right side
    469.54x = 248,849.52
  5. Step 5: Solve for x
    x = 248,849.52/469.54
  6. Step 6: Final answer
    x = 529.99

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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.