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Finding the Fourth Proportional to 656.15, 976.08 and 649.55

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Solution

The fourth proportional to 656.15, 976.08 and 649.55 is: 966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.15 : 976.08 = 649.55 : x
  2. Step 2: Convert to fraction form
    656.15/976.08 = 649.55/x
  3. Step 3: Cross multiply
    656.15x = 976.08 × 649.55
  4. Step 4: Simplify right side
    656.15x = 634,017.64
  5. Step 5: Solve for x
    x = 634,017.64/656.15
  6. Step 6: Final answer
    x = 966.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.