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Finding the Fourth Proportional to 949.61, 1,310.40 and 529.94

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Solution

The fourth proportional to 949.61, 1,310.40 and 529.94 is: 731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.61 : 1,310.40 = 529.94 : x
  2. Step 2: Convert to fraction form
    949.61/1,310.40 = 529.94/x
  3. Step 3: Cross multiply
    949.61x = 1,310.40 × 529.94
  4. Step 4: Simplify right side
    949.61x = 694,426.82
  5. Step 5: Solve for x
    x = 694,426.82/949.61
  6. Step 6: Final answer
    x = 731.28

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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.