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Finding the Fourth Proportional to 478.13, 659.30 and 436.21

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Solution

The fourth proportional to 478.13, 659.30 and 436.21 is: 601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 659.30 = 436.21 : x
  2. Step 2: Convert to fraction form
    478.13/659.30 = 436.21/x
  3. Step 3: Cross multiply
    478.13x = 659.30 × 436.21
  4. Step 4: Simplify right side
    478.13x = 287,594.35
  5. Step 5: Solve for x
    x = 287,594.35/478.13
  6. Step 6: Final answer
    x = 601.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.