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Finding the Fourth Proportional to 949.02, 1,309.64 and 529.40

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Solution

The fourth proportional to 949.02, 1,309.64 and 529.40 is: 730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.02 : 1,309.64 = 529.40 : x
  2. Step 2: Convert to fraction form
    949.02/1,309.64 = 529.40/x
  3. Step 3: Cross multiply
    949.02x = 1,309.64 × 529.40
  4. Step 4: Simplify right side
    949.02x = 693,323.42
  5. Step 5: Solve for x
    x = 693,323.42/949.02
  6. Step 6: Final answer
    x = 730.57

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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.