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Finding the Fourth Proportional to 614.01, 919.28 and 460.65

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Solution

The fourth proportional to 614.01, 919.28 and 460.65 is: 689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.01 : 919.28 = 460.65 : x
  2. Step 2: Convert to fraction form
    614.01/919.28 = 460.65/x
  3. Step 3: Cross multiply
    614.01x = 919.28 × 460.65
  4. Step 4: Simplify right side
    614.01x = 423,461.74
  5. Step 5: Solve for x
    x = 423,461.74/614.01
  6. Step 6: Final answer
    x = 689.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.