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Finding the Fourth Proportional to 583.23, 802.80 and 500.25

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Solution

The fourth proportional to 583.23, 802.80 and 500.25 is: 688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.23 : 802.80 = 500.25 : x
  2. Step 2: Convert to fraction form
    583.23/802.80 = 500.25/x
  3. Step 3: Cross multiply
    583.23x = 802.80 × 500.25
  4. Step 4: Simplify right side
    583.23x = 401,600.70
  5. Step 5: Solve for x
    x = 401,600.70/583.23
  6. Step 6: Final answer
    x = 688.58

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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.