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Finding the Fourth Proportional to 941.52, 1,298.76 and 587.28

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Solution

The fourth proportional to 941.52, 1,298.76 and 587.28 is: 810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.52 : 1,298.76 = 587.28 : x
  2. Step 2: Convert to fraction form
    941.52/1,298.76 = 587.28/x
  3. Step 3: Cross multiply
    941.52x = 1,298.76 × 587.28
  4. Step 4: Simplify right side
    941.52x = 762,735.77
  5. Step 5: Solve for x
    x = 762,735.77/941.52
  6. Step 6: Final answer
    x = 810.11

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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.