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Finding the Fourth Proportional to 569.43, 853.13 and 415.02

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Solution

The fourth proportional to 569.43, 853.13 and 415.02 is: 621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.43 : 853.13 = 415.02 : x
  2. Step 2: Convert to fraction form
    569.43/853.13 = 415.02/x
  3. Step 3: Cross multiply
    569.43x = 853.13 × 415.02
  4. Step 4: Simplify right side
    569.43x = 354,070.25
  5. Step 5: Solve for x
    x = 354,070.25/569.43
  6. Step 6: Final answer
    x = 621.80

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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.