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Finding the Fourth Proportional to 806.68, 1,113.24 and 457.42

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Solution

The fourth proportional to 806.68, 1,113.24 and 457.42 is: 631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.68 : 1,113.24 = 457.42 : x
  2. Step 2: Convert to fraction form
    806.68/1,113.24 = 457.42/x
  3. Step 3: Cross multiply
    806.68x = 1,113.24 × 457.42
  4. Step 4: Simplify right side
    806.68x = 509,218.24
  5. Step 5: Solve for x
    x = 509,218.24/806.68
  6. Step 6: Final answer
    x = 631.25

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Double scale
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1.5x scale

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.