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Finding the Fourth Proportional to 691.96, 952.81 and 580.99

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Solution

The fourth proportional to 691.96, 952.81 and 580.99 is: 800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.96 : 952.81 = 580.99 : x
  2. Step 2: Convert to fraction form
    691.96/952.81 = 580.99/x
  3. Step 3: Cross multiply
    691.96x = 952.81 × 580.99
  4. Step 4: Simplify right side
    691.96x = 553,573.08
  5. Step 5: Solve for x
    x = 553,573.08/691.96
  6. Step 6: Final answer
    x = 800.01

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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.