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Finding the Fourth Proportional to 656.96, 904.80 and 616.64

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Solution

The fourth proportional to 656.96, 904.80 and 616.64 is: 849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.96 : 904.80 = 616.64 : x
  2. Step 2: Convert to fraction form
    656.96/904.80 = 616.64/x
  3. Step 3: Cross multiply
    656.96x = 904.80 × 616.64
  4. Step 4: Simplify right side
    656.96x = 557,935.87
  5. Step 5: Solve for x
    x = 557,935.87/656.96
  6. Step 6: Final answer
    x = 849.27

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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.