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Finding the Fourth Proportional to 657.14, 905.60 and 470.30

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Solution

The fourth proportional to 657.14, 905.60 and 470.30 is: 648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 905.60 = 470.30 : x
  2. Step 2: Convert to fraction form
    657.14/905.60 = 470.30/x
  3. Step 3: Cross multiply
    657.14x = 905.60 × 470.30
  4. Step 4: Simplify right side
    657.14x = 425,907.12
  5. Step 5: Solve for x
    x = 425,907.12/657.14
  6. Step 6: Final answer
    x = 648.13

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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.