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Finding the Fourth Proportional to 585.47, 807.01 and 428.11

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Solution

The fourth proportional to 585.47, 807.01 and 428.11 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.47 : 807.01 = 428.11 : x
  2. Step 2: Convert to fraction form
    585.47/807.01 = 428.11/x
  3. Step 3: Cross multiply
    585.47x = 807.01 × 428.11
  4. Step 4: Simplify right side
    585.47x = 345,489.05
  5. Step 5: Solve for x
    x = 345,489.05/585.47
  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.