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Finding the Fourth Proportional to 585.69, 805.41 and 502.44

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Solution

The fourth proportional to 585.69, 805.41 and 502.44 is: 690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.69 : 805.41 = 502.44 : x
  2. Step 2: Convert to fraction form
    585.69/805.41 = 502.44/x
  3. Step 3: Cross multiply
    585.69x = 805.41 × 502.44
  4. Step 4: Simplify right side
    585.69x = 404,670.20
  5. Step 5: Solve for x
    x = 404,670.20/585.69
  6. Step 6: Final answer
    x = 690.93

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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.