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Finding the Fourth Proportional to 857.31, 1,282.80 and 510.81

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Solution

The fourth proportional to 857.31, 1,282.80 and 510.81 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.31 : 1,282.80 = 510.81 : x
  2. Step 2: Convert to fraction form
    857.31/1,282.80 = 510.81/x
  3. Step 3: Cross multiply
    857.31x = 1,282.80 × 510.81
  4. Step 4: Simplify right side
    857.31x = 655,267.07
  5. Step 5: Solve for x
    x = 655,267.07/857.31
  6. Step 6: Final answer
    x = 764.33

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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.