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Finding the Fourth Proportional to 792.68, 1,094.32 and 513.08

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Solution

The fourth proportional to 792.68, 1,094.32 and 513.08 is: 708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.68 : 1,094.32 = 513.08 : x
  2. Step 2: Convert to fraction form
    792.68/1,094.32 = 513.08/x
  3. Step 3: Cross multiply
    792.68x = 1,094.32 × 513.08
  4. Step 4: Simplify right side
    792.68x = 561,473.71
  5. Step 5: Solve for x
    x = 561,473.71/792.68
  6. Step 6: Final answer
    x = 708.32

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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.