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Finding the Fourth Proportional to 585.51, 807.95 and 375.62

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Solution

The fourth proportional to 585.51, 807.95 and 375.62 is: 518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.51 : 807.95 = 375.62 : x
  2. Step 2: Convert to fraction form
    585.51/807.95 = 375.62/x
  3. Step 3: Cross multiply
    585.51x = 807.95 × 375.62
  4. Step 4: Simplify right side
    585.51x = 303,476.26
  5. Step 5: Solve for x
    x = 303,476.26/585.51
  6. Step 6: Final answer
    x = 518.31

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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.