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Finding the Fourth Proportional to 585.08, 805.29 and 410.12

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Solution

The fourth proportional to 585.08, 805.29 and 410.12 is: 564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.08 : 805.29 = 410.12 : x
  2. Step 2: Convert to fraction form
    585.08/805.29 = 410.12/x
  3. Step 3: Cross multiply
    585.08x = 805.29 × 410.12
  4. Step 4: Simplify right side
    585.08x = 330,261.51
  5. Step 5: Solve for x
    x = 330,261.51/585.08
  6. Step 6: Final answer
    x = 564.48

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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.