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Finding the Fourth Proportional to 656.28, 906.14 and 460.06

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Solution

The fourth proportional to 656.28, 906.14 and 460.06 is: 635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.28 : 906.14 = 460.06 : x
  2. Step 2: Convert to fraction form
    656.28/906.14 = 460.06/x
  3. Step 3: Cross multiply
    656.28x = 906.14 × 460.06
  4. Step 4: Simplify right side
    656.28x = 416,877.65
  5. Step 5: Solve for x
    x = 416,877.65/656.28
  6. Step 6: Final answer
    x = 635.21

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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.