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Finding the Fourth Proportional to 559.43, 842.10 and 510.23

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Solution

The fourth proportional to 559.43, 842.10 and 510.23 is: 768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.43 : 842.10 = 510.23 : x
  2. Step 2: Convert to fraction form
    559.43/842.10 = 510.23/x
  3. Step 3: Cross multiply
    559.43x = 842.10 × 510.23
  4. Step 4: Simplify right side
    559.43x = 429,664.68
  5. Step 5: Solve for x
    x = 429,664.68/559.43
  6. Step 6: Final answer
    x = 768.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.