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Finding the Fourth Proportional to 608.31, 837.99 and 570.06

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Solution

The fourth proportional to 608.31, 837.99 and 570.06 is: 785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.31 : 837.99 = 570.06 : x
  2. Step 2: Convert to fraction form
    608.31/837.99 = 570.06/x
  3. Step 3: Cross multiply
    608.31x = 837.99 × 570.06
  4. Step 4: Simplify right side
    608.31x = 477,704.58
  5. Step 5: Solve for x
    x = 477,704.58/608.31
  6. Step 6: Final answer
    x = 785.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.