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Finding the Fourth Proportional to 806.99, 1,113.66 and 457.70

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Solution

The fourth proportional to 806.99, 1,113.66 and 457.70 is: 631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.99 : 1,113.66 = 457.70 : x
  2. Step 2: Convert to fraction form
    806.99/1,113.66 = 457.70/x
  3. Step 3: Cross multiply
    806.99x = 1,113.66 × 457.70
  4. Step 4: Simplify right side
    806.99x = 509,716.61
  5. Step 5: Solve for x
    x = 509,716.61/806.99
  6. Step 6: Final answer
    x = 631.63

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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.