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Finding the Fourth Proportional to 569.28, 784.32 and 452.48

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Solution

The fourth proportional to 569.28, 784.32 and 452.48 is: 623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 784.32 = 452.48 : x
  2. Step 2: Convert to fraction form
    569.28/784.32 = 452.48/x
  3. Step 3: Cross multiply
    569.28x = 784.32 × 452.48
  4. Step 4: Simplify right side
    569.28x = 354,889.11
  5. Step 5: Solve for x
    x = 354,889.11/569.28
  6. Step 6: Final answer
    x = 623.40

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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.