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Finding the Fourth Proportional to 612.50, 842.24 and 558.74

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Solution

The fourth proportional to 612.50, 842.24 and 558.74 is: 768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.50 : 842.24 = 558.74 : x
  2. Step 2: Convert to fraction form
    612.50/842.24 = 558.74/x
  3. Step 3: Cross multiply
    612.50x = 842.24 × 558.74
  4. Step 4: Simplify right side
    612.50x = 470,586.17
  5. Step 5: Solve for x
    x = 470,586.17/612.50
  6. Step 6: Final answer
    x = 768.31

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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.