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Finding the Fourth Proportional to 647.62, 974.92 and 558.34

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Solution

The fourth proportional to 647.62, 974.92 and 558.34 is: 840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.62 : 974.92 = 558.34 : x
  2. Step 2: Convert to fraction form
    647.62/974.92 = 558.34/x
  3. Step 3: Cross multiply
    647.62x = 974.92 × 558.34
  4. Step 4: Simplify right side
    647.62x = 544,336.83
  5. Step 5: Solve for x
    x = 544,336.83/647.62
  6. Step 6: Final answer
    x = 840.52

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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.