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Finding the Fourth Proportional to 469.66, 706.02 and 379.40

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Solution

The fourth proportional to 469.66, 706.02 and 379.40 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.66 : 706.02 = 379.40 : x
  2. Step 2: Convert to fraction form
    469.66/706.02 = 379.40/x
  3. Step 3: Cross multiply
    469.66x = 706.02 × 379.40
  4. Step 4: Simplify right side
    469.66x = 267,863.99
  5. Step 5: Solve for x
    x = 267,863.99/469.66
  6. Step 6: Final answer
    x = 570.34

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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.