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Finding the Fourth Proportional to 585.39, 807.53 and 427.78

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Solution

The fourth proportional to 585.39, 807.53 and 427.78 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.39 : 807.53 = 427.78 : x
  2. Step 2: Convert to fraction form
    585.39/807.53 = 427.78/x
  3. Step 3: Cross multiply
    585.39x = 807.53 × 427.78
  4. Step 4: Simplify right side
    585.39x = 345,445.18
  5. Step 5: Solve for x
    x = 345,445.18/585.39
  6. Step 6: Final answer
    x = 590.11

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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.