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Finding the Fourth Proportional to 569.51, 851.14 and 415.76

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Solution

The fourth proportional to 569.51, 851.14 and 415.76 is: 621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.51 : 851.14 = 415.76 : x
  2. Step 2: Convert to fraction form
    569.51/851.14 = 415.76/x
  3. Step 3: Cross multiply
    569.51x = 851.14 × 415.76
  4. Step 4: Simplify right side
    569.51x = 353,867.31
  5. Step 5: Solve for x
    x = 353,867.31/569.51
  6. Step 6: Final answer
    x = 621.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.