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Finding the Fourth Proportional to 656.81, 906.77 and 436.06

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Solution

The fourth proportional to 656.81, 906.77 and 436.06 is: 602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.81 : 906.77 = 436.06 : x
  2. Step 2: Convert to fraction form
    656.81/906.77 = 436.06/x
  3. Step 3: Cross multiply
    656.81x = 906.77 × 436.06
  4. Step 4: Simplify right side
    656.81x = 395,405.90
  5. Step 5: Solve for x
    x = 395,405.90/656.81
  6. Step 6: Final answer
    x = 602.01

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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.