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Finding the Fourth Proportional to 472.48, 710.34 and 436.84

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Solution

The fourth proportional to 472.48, 710.34 and 436.84 is: 656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 710.34 = 436.84 : x
  2. Step 2: Convert to fraction form
    472.48/710.34 = 436.84/x
  3. Step 3: Cross multiply
    472.48x = 710.34 × 436.84
  4. Step 4: Simplify right side
    472.48x = 310,304.93
  5. Step 5: Solve for x
    x = 310,304.93/472.48
  6. Step 6: Final answer
    x = 656.76

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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.