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Finding the Fourth Proportional to 752.19, 1,127.86 and 313.08

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Solution

The fourth proportional to 752.19, 1,127.86 and 313.08 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.19 : 1,127.86 = 313.08 : x
  2. Step 2: Convert to fraction form
    752.19/1,127.86 = 313.08/x
  3. Step 3: Cross multiply
    752.19x = 1,127.86 × 313.08
  4. Step 4: Simplify right side
    752.19x = 353,110.41
  5. Step 5: Solve for x
    x = 353,110.41/752.19
  6. Step 6: Final answer
    x = 469.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.