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Finding the Fourth Proportional to 469.48, 705.84 and 433.84

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Solution

The fourth proportional to 469.48, 705.84 and 433.84 is: 652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 705.84 = 433.84 : x
  2. Step 2: Convert to fraction form
    469.48/705.84 = 433.84/x
  3. Step 3: Cross multiply
    469.48x = 705.84 × 433.84
  4. Step 4: Simplify right side
    469.48x = 306,221.63
  5. Step 5: Solve for x
    x = 306,221.63/469.48
  6. Step 6: Final answer
    x = 652.26

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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.