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Finding the Fourth Proportional to 857.47, 1,283.02 and 510.99

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Solution

The fourth proportional to 857.47, 1,283.02 and 510.99 is: 764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.47 : 1,283.02 = 510.99 : x
  2. Step 2: Convert to fraction form
    857.47/1,283.02 = 510.99/x
  3. Step 3: Cross multiply
    857.47x = 1,283.02 × 510.99
  4. Step 4: Simplify right side
    857.47x = 655,613.92
  5. Step 5: Solve for x
    x = 655,613.92/857.47
  6. Step 6: Final answer
    x = 764.59

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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.