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Finding the Fourth Proportional to 461.12, 687.28 and 435.18

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Solution

The fourth proportional to 461.12, 687.28 and 435.18 is: 648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 687.28 = 435.18 : x
  2. Step 2: Convert to fraction form
    461.12/687.28 = 435.18/x
  3. Step 3: Cross multiply
    461.12x = 687.28 × 435.18
  4. Step 4: Simplify right side
    461.12x = 299,090.51
  5. Step 5: Solve for x
    x = 299,090.51/461.12
  6. Step 6: Final answer
    x = 648.62

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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.