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Finding the Fourth Proportional to 687.80, 946.17 and 603.41

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Solution

The fourth proportional to 687.80, 946.17 and 603.41 is: 830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.80 : 946.17 = 603.41 : x
  2. Step 2: Convert to fraction form
    687.80/946.17 = 603.41/x
  3. Step 3: Cross multiply
    687.80x = 946.17 × 603.41
  4. Step 4: Simplify right side
    687.80x = 570,923.71
  5. Step 5: Solve for x
    x = 570,923.71/687.80
  6. Step 6: Final answer
    x = 830.07

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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.