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Finding the Fourth Proportional to 482.38, 661.42 and 435.58

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Solution

The fourth proportional to 482.38, 661.42 and 435.58 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.38 : 661.42 = 435.58 : x
  2. Step 2: Convert to fraction form
    482.38/661.42 = 435.58/x
  3. Step 3: Cross multiply
    482.38x = 661.42 × 435.58
  4. Step 4: Simplify right side
    482.38x = 288,101.32
  5. Step 5: Solve for x
    x = 288,101.32/482.38
  6. Step 6: Final answer
    x = 597.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.