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Finding the Fourth Proportional to 881.36, 1,322.09 and 510.93

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Solution

The fourth proportional to 881.36, 1,322.09 and 510.93 is: 766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.36 : 1,322.09 = 510.93 : x
  2. Step 2: Convert to fraction form
    881.36/1,322.09 = 510.93/x
  3. Step 3: Cross multiply
    881.36x = 1,322.09 × 510.93
  4. Step 4: Simplify right side
    881.36x = 675,492.89
  5. Step 5: Solve for x
    x = 675,492.89/881.36
  6. Step 6: Final answer
    x = 766.43

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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.