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Finding the Fourth Proportional to 949.25, 1,309.98 and 529.65

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Solution

The fourth proportional to 949.25, 1,309.98 and 529.65 is: 730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.25 : 1,309.98 = 529.65 : x
  2. Step 2: Convert to fraction form
    949.25/1,309.98 = 529.65/x
  3. Step 3: Cross multiply
    949.25x = 1,309.98 × 529.65
  4. Step 4: Simplify right side
    949.25x = 693,830.91
  5. Step 5: Solve for x
    x = 693,830.91/949.25
  6. Step 6: Final answer
    x = 730.93

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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.