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Finding the Fourth Proportional to 569.11, 857.54 and 468.65

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Solution

The fourth proportional to 569.11, 857.54 and 468.65 is: 706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 857.54 = 468.65 : x
  2. Step 2: Convert to fraction form
    569.11/857.54 = 468.65/x
  3. Step 3: Cross multiply
    569.11x = 857.54 × 468.65
  4. Step 4: Simplify right side
    569.11x = 401,886.12
  5. Step 5: Solve for x
    x = 401,886.12/569.11
  6. Step 6: Final answer
    x = 706.17

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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.