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Finding the Fourth Proportional to 585.31, 807.65 and 491.82

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Solution

The fourth proportional to 585.31, 807.65 and 491.82 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.31 : 807.65 = 491.82 : x
  2. Step 2: Convert to fraction form
    585.31/807.65 = 491.82/x
  3. Step 3: Cross multiply
    585.31x = 807.65 × 491.82
  4. Step 4: Simplify right side
    585.31x = 397,215.96
  5. Step 5: Solve for x
    x = 397,215.96/585.31
  6. Step 6: Final answer
    x = 678.64

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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.