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Finding the Fourth Proportional to 585.53, 807.45 and 496.91

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Solution

The fourth proportional to 585.53, 807.45 and 496.91 is: 685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.53 : 807.45 = 496.91 : x
  2. Step 2: Convert to fraction form
    585.53/807.45 = 496.91/x
  3. Step 3: Cross multiply
    585.53x = 807.45 × 496.91
  4. Step 4: Simplify right side
    585.53x = 401,230.66
  5. Step 5: Solve for x
    x = 401,230.66/585.53
  6. Step 6: Final answer
    x = 685.25

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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.