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Finding the Fourth Proportional to 687.57, 1,026.29 and 632.67

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Solution

The fourth proportional to 687.57, 1,026.29 and 632.67 is: 944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.57 : 1,026.29 = 632.67 : x
  2. Step 2: Convert to fraction form
    687.57/1,026.29 = 632.67/x
  3. Step 3: Cross multiply
    687.57x = 1,026.29 × 632.67
  4. Step 4: Simplify right side
    687.57x = 649,299.73
  5. Step 5: Solve for x
    x = 649,299.73/687.57
  6. Step 6: Final answer
    x = 944.34

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1.5x scale

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.