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Finding the Fourth Proportional to 465.48, 642.56 and 421.02

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Solution

The fourth proportional to 465.48, 642.56 and 421.02 is: 581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.48 : 642.56 = 421.02 : x
  2. Step 2: Convert to fraction form
    465.48/642.56 = 421.02/x
  3. Step 3: Cross multiply
    465.48x = 642.56 × 421.02
  4. Step 4: Simplify right side
    465.48x = 270,528.51
  5. Step 5: Solve for x
    x = 270,528.51/465.48
  6. Step 6: Final answer
    x = 581.18

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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.