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Finding the Fourth Proportional to 941.04, 1,298.70 and 548.10

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Solution

The fourth proportional to 941.04, 1,298.70 and 548.10 is: 756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.04 : 1,298.70 = 548.10 : x
  2. Step 2: Convert to fraction form
    941.04/1,298.70 = 548.10/x
  3. Step 3: Cross multiply
    941.04x = 1,298.70 × 548.10
  4. Step 4: Simplify right side
    941.04x = 711,817.47
  5. Step 5: Solve for x
    x = 711,817.47/941.04
  6. Step 6: Final answer
    x = 756.42

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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.