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Finding the Fourth Proportional to 473.08, 648.54 and 465.52

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Solution

The fourth proportional to 473.08, 648.54 and 465.52 is: 638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.08 : 648.54 = 465.52 : x
  2. Step 2: Convert to fraction form
    473.08/648.54 = 465.52/x
  3. Step 3: Cross multiply
    473.08x = 648.54 × 465.52
  4. Step 4: Simplify right side
    473.08x = 301,908.34
  5. Step 5: Solve for x
    x = 301,908.34/473.08
  6. Step 6: Final answer
    x = 638.18

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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.