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Finding the Fourth Proportional to 585.38, 807.21 and 420.08

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Solution

The fourth proportional to 585.38, 807.21 and 420.08 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.38 : 807.21 = 420.08 : x
  2. Step 2: Convert to fraction form
    585.38/807.21 = 420.08/x
  3. Step 3: Cross multiply
    585.38x = 807.21 × 420.08
  4. Step 4: Simplify right side
    585.38x = 339,088.74
  5. Step 5: Solve for x
    x = 339,088.74/585.38
  6. Step 6: Final answer
    x = 579.27

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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.