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Finding the Fourth Proportional to 806.81, 1,113.50 and 457.57

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Solution

The fourth proportional to 806.81, 1,113.50 and 457.57 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.81 : 1,113.50 = 457.57 : x
  2. Step 2: Convert to fraction form
    806.81/1,113.50 = 457.57/x
  3. Step 3: Cross multiply
    806.81x = 1,113.50 × 457.57
  4. Step 4: Simplify right side
    806.81x = 509,504.20
  5. Step 5: Solve for x
    x = 509,504.20/806.81
  6. Step 6: Final answer
    x = 631.50

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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.