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Finding the Fourth Proportional to 568.64, 784.96 and 520.32

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Solution

The fourth proportional to 568.64, 784.96 and 520.32 is: 718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.64 : 784.96 = 520.32 : x
  2. Step 2: Convert to fraction form
    568.64/784.96 = 520.32/x
  3. Step 3: Cross multiply
    568.64x = 784.96 × 520.32
  4. Step 4: Simplify right side
    568.64x = 408,430.39
  5. Step 5: Solve for x
    x = 408,430.39/568.64
  6. Step 6: Final answer
    x = 718.26

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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.