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Finding the Fourth Proportional to 694.47, 1,035.81 and 585.50

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Solution

The fourth proportional to 694.47, 1,035.81 and 585.50 is: 873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.47 : 1,035.81 = 585.50 : x
  2. Step 2: Convert to fraction form
    694.47/1,035.81 = 585.50/x
  3. Step 3: Cross multiply
    694.47x = 1,035.81 × 585.50
  4. Step 4: Simplify right side
    694.47x = 606,462.70
  5. Step 5: Solve for x
    x = 606,462.70/694.47
  6. Step 6: Final answer
    x = 873.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.