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Finding the Fourth Proportional to 568.96, 784.64 and 528.32

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Solution

The fourth proportional to 568.96, 784.64 and 528.32 is: 728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.96 : 784.64 = 528.32 : x
  2. Step 2: Convert to fraction form
    568.96/784.64 = 528.32/x
  3. Step 3: Cross multiply
    568.96x = 784.64 × 528.32
  4. Step 4: Simplify right side
    568.96x = 414,541.00
  5. Step 5: Solve for x
    x = 414,541.00/568.96
  6. Step 6: Final answer
    x = 728.59

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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.