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Finding the Fourth Proportional to 687.42, 946.89 and 642.06

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Solution

The fourth proportional to 687.42, 946.89 and 642.06 is: 884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.42 : 946.89 = 642.06 : x
  2. Step 2: Convert to fraction form
    687.42/946.89 = 642.06/x
  3. Step 3: Cross multiply
    687.42x = 946.89 × 642.06
  4. Step 4: Simplify right side
    687.42x = 607,960.19
  5. Step 5: Solve for x
    x = 607,960.19/687.42
  6. Step 6: Final answer
    x = 884.41

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1.5x scale

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.