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Finding the Fourth Proportional to 569.72, 785.30 and 383.15

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Solution

The fourth proportional to 569.72, 785.30 and 383.15 is: 528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.72 : 785.30 = 383.15 : x
  2. Step 2: Convert to fraction form
    569.72/785.30 = 383.15/x
  3. Step 3: Cross multiply
    569.72x = 785.30 × 383.15
  4. Step 4: Simplify right side
    569.72x = 300,887.74
  5. Step 5: Solve for x
    x = 300,887.74/569.72
  6. Step 6: Final answer
    x = 528.13

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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.