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Finding the Fourth Proportional to 585.14, 807.65 and 346.08

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Solution

The fourth proportional to 585.14, 807.65 and 346.08 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.14 : 807.65 = 346.08 : x
  2. Step 2: Convert to fraction form
    585.14/807.65 = 346.08/x
  3. Step 3: Cross multiply
    585.14x = 807.65 × 346.08
  4. Step 4: Simplify right side
    585.14x = 279,511.51
  5. Step 5: Solve for x
    x = 279,511.51/585.14
  6. Step 6: Final answer
    x = 477.68

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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.