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Finding the Fourth Proportional to 686.79, 946.81 and 581.46

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Solution

The fourth proportional to 686.79, 946.81 and 581.46 is: 801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.79 : 946.81 = 581.46 : x
  2. Step 2: Convert to fraction form
    686.79/946.81 = 581.46/x
  3. Step 3: Cross multiply
    686.79x = 946.81 × 581.46
  4. Step 4: Simplify right side
    686.79x = 550,532.14
  5. Step 5: Solve for x
    x = 550,532.14/686.79
  6. Step 6: Final answer
    x = 801.60

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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.