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Finding the Fourth Proportional to 569.15, 785.51 and 320.49

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Solution

The fourth proportional to 569.15, 785.51 and 320.49 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.15 : 785.51 = 320.49 : x
  2. Step 2: Convert to fraction form
    569.15/785.51 = 320.49/x
  3. Step 3: Cross multiply
    569.15x = 785.51 × 320.49
  4. Step 4: Simplify right side
    569.15x = 251,748.10
  5. Step 5: Solve for x
    x = 251,748.10/569.15
  6. Step 6: Final answer
    x = 442.32

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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.