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Finding the Fourth Proportional to 806.88, 1,113.42 and 457.50

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Solution

The fourth proportional to 806.88, 1,113.42 and 457.50 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.88 : 1,113.42 = 457.50 : x
  2. Step 2: Convert to fraction form
    806.88/1,113.42 = 457.50/x
  3. Step 3: Cross multiply
    806.88x = 1,113.42 × 457.50
  4. Step 4: Simplify right side
    806.88x = 509,389.65
  5. Step 5: Solve for x
    x = 509,389.65/806.88
  6. Step 6: Final answer
    x = 631.31

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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.