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Finding the Fourth Proportional to 647.80, 892.42 and 500.18

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Solution

The fourth proportional to 647.80, 892.42 and 500.18 is: 689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.80 : 892.42 = 500.18 : x
  2. Step 2: Convert to fraction form
    647.80/892.42 = 500.18/x
  3. Step 3: Cross multiply
    647.80x = 892.42 × 500.18
  4. Step 4: Simplify right side
    647.80x = 446,364.92
  5. Step 5: Solve for x
    x = 446,364.92/647.80
  6. Step 6: Final answer
    x = 689.05

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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.