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Finding the Fourth Proportional to 941.01, 1,298.70 and 548.16

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Solution

The fourth proportional to 941.01, 1,298.70 and 548.16 is: 756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.01 : 1,298.70 = 548.16 : x
  2. Step 2: Convert to fraction form
    941.01/1,298.70 = 548.16/x
  3. Step 3: Cross multiply
    941.01x = 1,298.70 × 548.16
  4. Step 4: Simplify right side
    941.01x = 711,895.39
  5. Step 5: Solve for x
    x = 711,895.39/941.01
  6. Step 6: Final answer
    x = 756.52

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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.