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Finding the Fourth Proportional to 569.33, 785.66 and 320.63

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Solution

The fourth proportional to 569.33, 785.66 and 320.63 is: 442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.33 : 785.66 = 320.63 : x
  2. Step 2: Convert to fraction form
    569.33/785.66 = 320.63/x
  3. Step 3: Cross multiply
    569.33x = 785.66 × 320.63
  4. Step 4: Simplify right side
    569.33x = 251,900.63
  5. Step 5: Solve for x
    x = 251,900.63/569.33
  6. Step 6: Final answer
    x = 442.45

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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.