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Finding the Fourth Proportional to 657.30, 906.72 and 470.78

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Solution

The fourth proportional to 657.30, 906.72 and 470.78 is: 649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 906.72 = 470.78 : x
  2. Step 2: Convert to fraction form
    657.30/906.72 = 470.78/x
  3. Step 3: Cross multiply
    657.30x = 906.72 × 470.78
  4. Step 4: Simplify right side
    657.30x = 426,865.64
  5. Step 5: Solve for x
    x = 426,865.64/657.30
  6. Step 6: Final answer
    x = 649.42

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1.5x scale

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.