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Finding the Fourth Proportional to 608.96, 842.34 and 510.56

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Solution

The fourth proportional to 608.96, 842.34 and 510.56 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.96 : 842.34 = 510.56 : x
  2. Step 2: Convert to fraction form
    608.96/842.34 = 510.56/x
  3. Step 3: Cross multiply
    608.96x = 842.34 × 510.56
  4. Step 4: Simplify right side
    608.96x = 430,065.11
  5. Step 5: Solve for x
    x = 430,065.11/608.96
  6. Step 6: Final answer
    x = 706.23

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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.