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Finding the Fourth Proportional to 941.10, 1,298.18 and 591.18

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Solution

The fourth proportional to 941.10, 1,298.18 and 591.18 is: 815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.10 : 1,298.18 = 591.18 : x
  2. Step 2: Convert to fraction form
    941.10/1,298.18 = 591.18/x
  3. Step 3: Cross multiply
    941.10x = 1,298.18 × 591.18
  4. Step 4: Simplify right side
    941.10x = 767,458.05
  5. Step 5: Solve for x
    x = 767,458.05/941.10
  6. Step 6: Final answer
    x = 815.49

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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.