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Finding the Fourth Proportional to 806.68, 1,113.90 and 512.47

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Solution

The fourth proportional to 806.68, 1,113.90 and 512.47 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.68 : 1,113.90 = 512.47 : x
  2. Step 2: Convert to fraction form
    806.68/1,113.90 = 512.47/x
  3. Step 3: Cross multiply
    806.68x = 1,113.90 × 512.47
  4. Step 4: Simplify right side
    806.68x = 570,840.33
  5. Step 5: Solve for x
    x = 570,840.33/806.68
  6. Step 6: Final answer
    x = 707.64

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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.