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Finding the Fourth Proportional to 478.40, 713.56 and 436.48

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Solution

The fourth proportional to 478.40, 713.56 and 436.48 is: 651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.40 : 713.56 = 436.48 : x
  2. Step 2: Convert to fraction form
    478.40/713.56 = 436.48/x
  3. Step 3: Cross multiply
    478.40x = 713.56 × 436.48
  4. Step 4: Simplify right side
    478.40x = 311,454.67
  5. Step 5: Solve for x
    x = 311,454.67/478.40
  6. Step 6: Final answer
    x = 651.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.