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Finding the Fourth Proportional to 569.57, 853.56 and 432.16

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Solution

The fourth proportional to 569.57, 853.56 and 432.16 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.57 : 853.56 = 432.16 : x
  2. Step 2: Convert to fraction form
    569.57/853.56 = 432.16/x
  3. Step 3: Cross multiply
    569.57x = 853.56 × 432.16
  4. Step 4: Simplify right side
    569.57x = 368,872.36
  5. Step 5: Solve for x
    x = 368,872.36/569.57
  6. Step 6: Final answer
    x = 647.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.