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Finding the Fourth Proportional to 941.16, 1,298.78 and 548.18

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Solution

The fourth proportional to 941.16, 1,298.78 and 548.18 is: 756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.16 : 1,298.78 = 548.18 : x
  2. Step 2: Convert to fraction form
    941.16/1,298.78 = 548.18/x
  3. Step 3: Cross multiply
    941.16x = 1,298.78 × 548.18
  4. Step 4: Simplify right side
    941.16x = 711,965.22
  5. Step 5: Solve for x
    x = 711,965.22/941.16
  6. Step 6: Final answer
    x = 756.48

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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.