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Finding the Fourth Proportional to 445.38, 612.80 and 435.02

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Solution

The fourth proportional to 445.38, 612.80 and 435.02 is: 598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.38 : 612.80 = 435.02 : x
  2. Step 2: Convert to fraction form
    445.38/612.80 = 435.02/x
  3. Step 3: Cross multiply
    445.38x = 612.80 × 435.02
  4. Step 4: Simplify right side
    445.38x = 266,580.10
  5. Step 5: Solve for x
    x = 266,580.10/445.38
  6. Step 6: Final answer
    x = 598.54

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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.