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Finding the Fourth Proportional to 656.16, 905.28 and 435.04

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Solution

The fourth proportional to 656.16, 905.28 and 435.04 is: 600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 905.28 = 435.04 : x
  2. Step 2: Convert to fraction form
    656.16/905.28 = 435.04/x
  3. Step 3: Cross multiply
    656.16x = 905.28 × 435.04
  4. Step 4: Simplify right side
    656.16x = 393,833.01
  5. Step 5: Solve for x
    x = 393,833.01/656.16
  6. Step 6: Final answer
    x = 600.21

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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.