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Finding the Fourth Proportional to 607.50, 838.80 and 475.20

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Solution

The fourth proportional to 607.50, 838.80 and 475.20 is: 656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 838.80 = 475.20 : x
  2. Step 2: Convert to fraction form
    607.50/838.80 = 475.20/x
  3. Step 3: Cross multiply
    607.50x = 838.80 × 475.20
  4. Step 4: Simplify right side
    607.50x = 398,597.76
  5. Step 5: Solve for x
    x = 398,597.76/607.50
  6. Step 6: Final answer
    x = 656.13

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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.