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Finding the Fourth Proportional to 659.12, 981.45 and 635.76

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Solution

The fourth proportional to 659.12, 981.45 and 635.76 is: 946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.12 : 981.45 = 635.76 : x
  2. Step 2: Convert to fraction form
    659.12/981.45 = 635.76/x
  3. Step 3: Cross multiply
    659.12x = 981.45 × 635.76
  4. Step 4: Simplify right side
    659.12x = 623,966.65
  5. Step 5: Solve for x
    x = 623,966.65/659.12
  6. Step 6: Final answer
    x = 946.67

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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.