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Finding the Fourth Proportional to 569.08, 858.49 and 546.40

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Solution

The fourth proportional to 569.08, 858.49 and 546.40 is: 824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.08 : 858.49 = 546.40 : x
  2. Step 2: Convert to fraction form
    569.08/858.49 = 546.40/x
  3. Step 3: Cross multiply
    569.08x = 858.49 × 546.40
  4. Step 4: Simplify right side
    569.08x = 469,078.94
  5. Step 5: Solve for x
    x = 469,078.94/569.08
  6. Step 6: Final answer
    x = 824.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.