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Finding the Fourth Proportional to 659.52, 910.72 and 637.76

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Solution

The fourth proportional to 659.52, 910.72 and 637.76 is: 880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 910.72 = 637.76 : x
  2. Step 2: Convert to fraction form
    659.52/910.72 = 637.76/x
  3. Step 3: Cross multiply
    659.52x = 910.72 × 637.76
  4. Step 4: Simplify right side
    659.52x = 580,820.79
  5. Step 5: Solve for x
    x = 580,820.79/659.52
  6. Step 6: Final answer
    x = 880.67

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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.