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Finding the Fourth Proportional to 569.14, 785.32 and 345.02

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Solution

The fourth proportional to 569.14, 785.32 and 345.02 is: 476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.14 : 785.32 = 345.02 : x
  2. Step 2: Convert to fraction form
    569.14/785.32 = 345.02/x
  3. Step 3: Cross multiply
    569.14x = 785.32 × 345.02
  4. Step 4: Simplify right side
    569.14x = 270,946.32
  5. Step 5: Solve for x
    x = 270,946.32/569.14
  6. Step 6: Final answer
    x = 476.06

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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.