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Finding the Fourth Proportional to 687.29, 947.50 and 581.96

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Solution

The fourth proportional to 687.29, 947.50 and 581.96 is: 802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.29 : 947.50 = 581.96 : x
  2. Step 2: Convert to fraction form
    687.29/947.50 = 581.96/x
  3. Step 3: Cross multiply
    687.29x = 947.50 × 581.96
  4. Step 4: Simplify right side
    687.29x = 551,407.10
  5. Step 5: Solve for x
    x = 551,407.10/687.29
  6. Step 6: Final answer
    x = 802.29

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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.