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Finding the Fourth Proportional to 569.01, 785.19 and 320.29

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Solution

The fourth proportional to 569.01, 785.19 and 320.29 is: 441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.01 : 785.19 = 320.29 : x
  2. Step 2: Convert to fraction form
    569.01/785.19 = 320.29/x
  3. Step 3: Cross multiply
    569.01x = 785.19 × 320.29
  4. Step 4: Simplify right side
    569.01x = 251,488.51
  5. Step 5: Solve for x
    x = 251,488.51/569.01
  6. Step 6: Final answer
    x = 441.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.