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Finding the Fourth Proportional to 469.55, 705.62 and 439.08

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Solution

The fourth proportional to 469.55, 705.62 and 439.08 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.55 : 705.62 = 439.08 : x
  2. Step 2: Convert to fraction form
    469.55/705.62 = 439.08/x
  3. Step 3: Cross multiply
    469.55x = 705.62 × 439.08
  4. Step 4: Simplify right side
    469.55x = 309,822.08
  5. Step 5: Solve for x
    x = 309,822.08/469.55
  6. Step 6: Final answer
    x = 659.82

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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.