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Finding the Fourth Proportional to 810.37, 1,118.50 and 474.43

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Solution

The fourth proportional to 810.37, 1,118.50 and 474.43 is: 654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.37 : 1,118.50 = 474.43 : x
  2. Step 2: Convert to fraction form
    810.37/1,118.50 = 474.43/x
  3. Step 3: Cross multiply
    810.37x = 1,118.50 × 474.43
  4. Step 4: Simplify right side
    810.37x = 530,650.74
  5. Step 5: Solve for x
    x = 530,650.74/810.37
  6. Step 6: Final answer
    x = 654.82

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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.