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Finding the Fourth Proportional to 656.16, 905.28 and 500.64

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Solution

The fourth proportional to 656.16, 905.28 and 500.64 is: 690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 905.28 = 500.64 : x
  2. Step 2: Convert to fraction form
    656.16/905.28 = 500.64/x
  3. Step 3: Cross multiply
    656.16x = 905.28 × 500.64
  4. Step 4: Simplify right side
    656.16x = 453,219.38
  5. Step 5: Solve for x
    x = 453,219.38/656.16
  6. Step 6: Final answer
    x = 690.71

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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.