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Finding the Fourth Proportional to 857.59, 1,285.51 and 395.71

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Solution

The fourth proportional to 857.59, 1,285.51 and 395.71 is: 593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.59 : 1,285.51 = 395.71 : x
  2. Step 2: Convert to fraction form
    857.59/1,285.51 = 395.71/x
  3. Step 3: Cross multiply
    857.59x = 1,285.51 × 395.71
  4. Step 4: Simplify right side
    857.59x = 508,689.16
  5. Step 5: Solve for x
    x = 508,689.16/857.59
  6. Step 6: Final answer
    x = 593.16

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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.