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Finding the Fourth Proportional to 941.18, 1,298.80 and 521.56

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Solution

The fourth proportional to 941.18, 1,298.80 and 521.56 is: 719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.18 : 1,298.80 = 521.56 : x
  2. Step 2: Convert to fraction form
    941.18/1,298.80 = 521.56/x
  3. Step 3: Cross multiply
    941.18x = 1,298.80 × 521.56
  4. Step 4: Simplify right side
    941.18x = 677,402.13
  5. Step 5: Solve for x
    x = 677,402.13/941.18
  6. Step 6: Final answer
    x = 719.74

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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.