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Finding the Fourth Proportional to 570.51, 859.11 and 409.32

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Solution

The fourth proportional to 570.51, 859.11 and 409.32 is: 616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.51 : 859.11 = 409.32 : x
  2. Step 2: Convert to fraction form
    570.51/859.11 = 409.32/x
  3. Step 3: Cross multiply
    570.51x = 859.11 × 409.32
  4. Step 4: Simplify right side
    570.51x = 351,649.37
  5. Step 5: Solve for x
    x = 351,649.37/570.51
  6. Step 6: Final answer
    x = 616.38

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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.