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Finding the Fourth Proportional to 829.76, 1,145.68 and 568.32

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Solution

The fourth proportional to 829.76, 1,145.68 and 568.32 is: 784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.76 : 1,145.68 = 568.32 : x
  2. Step 2: Convert to fraction form
    829.76/1,145.68 = 568.32/x
  3. Step 3: Cross multiply
    829.76x = 1,145.68 × 568.32
  4. Step 4: Simplify right side
    829.76x = 651,112.86
  5. Step 5: Solve for x
    x = 651,112.86/829.76
  6. Step 6: Final answer
    x = 784.70

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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.