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Finding the Fourth Proportional to 469.42, 703.55 and 353.49

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Solution

The fourth proportional to 469.42, 703.55 and 353.49 is: 529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.42 : 703.55 = 353.49 : x
  2. Step 2: Convert to fraction form
    469.42/703.55 = 353.49/x
  3. Step 3: Cross multiply
    469.42x = 703.55 × 353.49
  4. Step 4: Simplify right side
    469.42x = 248,698.77
  5. Step 5: Solve for x
    x = 248,698.77/469.42
  6. Step 6: Final answer
    x = 529.80

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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.