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Finding the Fourth Proportional to 470.34, 653.66 and 465.48

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Solution

The fourth proportional to 470.34, 653.66 and 465.48 is: 646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.34 : 653.66 = 465.48 : x
  2. Step 2: Convert to fraction form
    470.34/653.66 = 465.48/x
  3. Step 3: Cross multiply
    470.34x = 653.66 × 465.48
  4. Step 4: Simplify right side
    470.34x = 304,263.33
  5. Step 5: Solve for x
    x = 304,263.33/470.34
  6. Step 6: Final answer
    x = 646.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.